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Finding the Fourth Proportional to 729,339.76, 1,006,486.68 and 407,046.32

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Solution

The fourth proportional to 729,339.76, 1,006,486.68 and 407,046.32 is: 561,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,339.76 : 1,006,486.68 = 407,046.32 : x
  2. Step 2: Convert to fraction form
    729,339.76/1,006,486.68 = 407,046.32/x
  3. Step 3: Cross multiply
    729,339.76x = 1,006,486.68 × 407,046.32
  4. Step 4: Simplify right side
    729,339.76x = 409,686,699,223.02
  5. Step 5: Solve for x
    x = 409,686,699,223.02/729,339.76
  6. Step 6: Final answer
    x = 561,722.70

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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.