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Finding the Fourth Proportional to 711,928.92, 982,412.55 and 406,018.24

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Solution

The fourth proportional to 711,928.92, 982,412.55 and 406,018.24 is: 560,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,928.92 : 982,412.55 = 406,018.24 : x
  2. Step 2: Convert to fraction form
    711,928.92/982,412.55 = 406,018.24/x
  3. Step 3: Cross multiply
    711,928.92x = 982,412.55 × 406,018.24
  4. Step 4: Simplify right side
    711,928.92x = 398,877,414,504.91
  5. Step 5: Solve for x
    x = 398,877,414,504.91/711,928.92
  6. Step 6: Final answer
    x = 560,277.02

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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.