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Finding the Fourth Proportional to 510,892.20, 705,052.98 and 284,537.70

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Solution

The fourth proportional to 510,892.20, 705,052.98 and 284,537.70 is: 392,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,892.20 : 705,052.98 = 284,537.70 : x
  2. Step 2: Convert to fraction form
    510,892.20/705,052.98 = 284,537.70/x
  3. Step 3: Cross multiply
    510,892.20x = 705,052.98 × 284,537.70
  4. Step 4: Simplify right side
    510,892.20x = 200,614,153,307.35
  5. Step 5: Solve for x
    x = 200,614,153,307.35/510,892.20
  6. Step 6: Final answer
    x = 392,674.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.