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Finding the Fourth Proportional to 510,141.20, 704,055.50 and 292,427.78

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Solution

The fourth proportional to 510,141.20, 704,055.50 and 292,427.78 is: 403,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,141.20 : 704,055.50 = 292,427.78 : x
  2. Step 2: Convert to fraction form
    510,141.20/704,055.50 = 292,427.78/x
  3. Step 3: Cross multiply
    510,141.20x = 704,055.50 × 292,427.78
  4. Step 4: Simplify right side
    510,141.20x = 205,885,386,861.79
  5. Step 5: Solve for x
    x = 205,885,386,861.79/510,141.20
  6. Step 6: Final answer
    x = 403,585.10

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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.