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Finding the Fourth Proportional to 729,003.99, 1,006,026.13 and 406,714.15

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Solution

The fourth proportional to 729,003.99, 1,006,026.13 and 406,714.15 is: 561,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,003.99 : 1,006,026.13 = 406,714.15 : x
  2. Step 2: Convert to fraction form
    729,003.99/1,006,026.13 = 406,714.15/x
  3. Step 3: Cross multiply
    729,003.99x = 1,006,026.13 × 406,714.15
  4. Step 4: Simplify right side
    729,003.99x = 409,165,062,340.74
  5. Step 5: Solve for x
    x = 409,165,062,340.74/729,003.99
  6. Step 6: Final answer
    x = 561,265.88

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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.