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Finding the Fourth Proportional to 590,511.40, 885,767.10 and 413,218.60

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Solution

The fourth proportional to 590,511.40, 885,767.10 and 413,218.60 is: 619,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,511.40 : 885,767.10 = 413,218.60 : x
  2. Step 2: Convert to fraction form
    590,511.40/885,767.10 = 413,218.60/x
  3. Step 3: Cross multiply
    590,511.40x = 885,767.10 × 413,218.60
  4. Step 4: Simplify right side
    590,511.40x = 366,015,440,988.06
  5. Step 5: Solve for x
    x = 366,015,440,988.06/590,511.40
  6. Step 6: Final answer
    x = 619,827.90

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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.