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Finding the Fourth Proportional to 729,296.24, 1,006,484.48 and 402,672.24

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Solution

The fourth proportional to 729,296.24, 1,006,484.48 and 402,672.24 is: 555,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,296.24 : 1,006,484.48 = 402,672.24 : x
  2. Step 2: Convert to fraction form
    729,296.24/1,006,484.48 = 402,672.24/x
  3. Step 3: Cross multiply
    729,296.24x = 1,006,484.48 × 402,672.24
  4. Step 4: Simplify right side
    729,296.24x = 405,283,358,073.47
  5. Step 5: Solve for x
    x = 405,283,358,073.47/729,296.24
  6. Step 6: Final answer
    x = 555,718.43

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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.