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Finding the Fourth Proportional to 711,444.53, 982,124.31 and 420,964.76

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Solution

The fourth proportional to 711,444.53, 982,124.31 and 420,964.76 is: 581,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,444.53 : 982,124.31 = 420,964.76 : x
  2. Step 2: Convert to fraction form
    711,444.53/982,124.31 = 420,964.76/x
  3. Step 3: Cross multiply
    711,444.53x = 982,124.31 × 420,964.76
  4. Step 4: Simplify right side
    711,444.53x = 413,439,719,538.69
  5. Step 5: Solve for x
    x = 413,439,719,538.69/711,444.53
  6. Step 6: Final answer
    x = 581,127.14

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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.