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Finding the Fourth Proportional to 729,000.15, 1,006,020.84 and 406,710.32

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Solution

The fourth proportional to 729,000.15, 1,006,020.84 and 406,710.32 is: 561,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,000.15 : 1,006,020.84 = 406,710.32 : x
  2. Step 2: Convert to fraction form
    729,000.15/1,006,020.84 = 406,710.32/x
  3. Step 3: Cross multiply
    729,000.15x = 1,006,020.84 × 406,710.32
  4. Step 4: Simplify right side
    729,000.15x = 409,159,052,732.97
  5. Step 5: Solve for x
    x = 409,159,052,732.97/729,000.15
  6. Step 6: Final answer
    x = 561,260.59

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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.