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Finding the Fourth Proportional to 791,712, 1,092,562.56 and 434,016

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Solution

The fourth proportional to 791,712, 1,092,562.56 and 434,016 is: 598,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,712 : 1,092,562.56 = 434,016 : x
  2. Step 2: Convert to fraction form
    791,712/1,092,562.56 = 434,016/x
  3. Step 3: Cross multiply
    791,712x = 1,092,562.56 × 434,016
  4. Step 4: Simplify right side
    791,712x = 474,189,632,040.96
  5. Step 5: Solve for x
    x = 474,189,632,040.96/791,712
  6. Step 6: Final answer
    x = 598,942.08

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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.