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Finding the Fourth Proportional to 728,714.71, 1,005,620.68 and 402,041.49

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Solution

The fourth proportional to 728,714.71, 1,005,620.68 and 402,041.49 is: 554,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,714.71 : 1,005,620.68 = 402,041.49 : x
  2. Step 2: Convert to fraction form
    728,714.71/1,005,620.68 = 402,041.49/x
  3. Step 3: Cross multiply
    728,714.71x = 1,005,620.68 × 402,041.49
  4. Step 4: Simplify right side
    728,714.71x = 404,301,239,515.46
  5. Step 5: Solve for x
    x = 404,301,239,515.46/728,714.71
  6. Step 6: Final answer
    x = 554,814.16

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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.