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Finding the Fourth Proportional to 510,654.12, 704,659.14 and 284,320.68

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Solution

The fourth proportional to 510,654.12, 704,659.14 and 284,320.68 is: 392,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,654.12 : 704,659.14 = 284,320.68 : x
  2. Step 2: Convert to fraction form
    510,654.12/704,659.14 = 284,320.68/x
  3. Step 3: Cross multiply
    510,654.12x = 704,659.14 × 284,320.68
  4. Step 4: Simplify right side
    510,654.12x = 200,349,165,853.02
  5. Step 5: Solve for x
    x = 200,349,165,853.02/510,654.12
  6. Step 6: Final answer
    x = 392,338.29

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