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Finding the Fourth Proportional to 650,437.28, 975,655.92 and 428,769.44

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Solution

The fourth proportional to 650,437.28, 975,655.92 and 428,769.44 is: 643,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,437.28 : 975,655.92 = 428,769.44 : x
  2. Step 2: Convert to fraction form
    650,437.28/975,655.92 = 428,769.44/x
  3. Step 3: Cross multiply
    650,437.28x = 975,655.92 × 428,769.44
  4. Step 4: Simplify right side
    650,437.28x = 418,331,442,451.09
  5. Step 5: Solve for x
    x = 418,331,442,451.09/650,437.28
  6. Step 6: Final answer
    x = 643,154.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.