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Finding the Fourth Proportional to 729,952.96, 1,007,325.12 and 407,668.72

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Solution

The fourth proportional to 729,952.96, 1,007,325.12 and 407,668.72 is: 562,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,952.96 : 1,007,325.12 = 407,668.72 : x
  2. Step 2: Convert to fraction form
    729,952.96/1,007,325.12 = 407,668.72/x
  3. Step 3: Cross multiply
    729,952.96x = 1,007,325.12 × 407,668.72
  4. Step 4: Simplify right side
    729,952.96x = 410,654,942,294.25
  5. Step 5: Solve for x
    x = 410,654,942,294.25/729,952.96
  6. Step 6: Final answer
    x = 562,577.27

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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.