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Finding the Fourth Proportional to 590,513.40, 885,770.10 and 413,220.60

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Solution

The fourth proportional to 590,513.40, 885,770.10 and 413,220.60 is: 619,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,513.40 : 885,770.10 = 413,220.60 : x
  2. Step 2: Convert to fraction form
    590,513.40/885,770.10 = 413,220.60/x
  3. Step 3: Cross multiply
    590,513.40x = 885,770.10 × 413,220.60
  4. Step 4: Simplify right side
    590,513.40x = 366,018,452,184.06
  5. Step 5: Solve for x
    x = 366,018,452,184.06/590,513.40
  6. Step 6: Final answer
    x = 619,830.90

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.