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Finding the Fourth Proportional to 579,770.80, 869,656.20 and 411,809.20

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Solution

The fourth proportional to 579,770.80, 869,656.20 and 411,809.20 is: 617,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,770.80 : 869,656.20 = 411,809.20 : x
  2. Step 2: Convert to fraction form
    579,770.80/869,656.20 = 411,809.20/x
  3. Step 3: Cross multiply
    579,770.80x = 869,656.20 × 411,809.20
  4. Step 4: Simplify right side
    579,770.80x = 358,132,423,997.04
  5. Step 5: Solve for x
    x = 358,132,423,997.04/579,770.80
  6. Step 6: Final answer
    x = 617,713.80

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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.