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Finding the Fourth Proportional to 510,127.44, 704,036.52 and 292,414.02

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Solution

The fourth proportional to 510,127.44, 704,036.52 and 292,414.02 is: 403,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,127.44 : 704,036.52 = 292,414.02 : x
  2. Step 2: Convert to fraction form
    510,127.44/704,036.52 = 292,414.02/x
  3. Step 3: Cross multiply
    510,127.44x = 704,036.52 × 292,414.02
  4. Step 4: Simplify right side
    510,127.44x = 205,870,149,040.01
  5. Step 5: Solve for x
    x = 205,870,149,040.01/510,127.44
  6. Step 6: Final answer
    x = 403,566.11

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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.