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Finding the Fourth Proportional to 428,474.40, 642,713.92 and 128,952.96

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Solution

The fourth proportional to 428,474.40, 642,713.92 and 128,952.96 is: 193,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,474.40 : 642,713.92 = 128,952.96 : x
  2. Step 2: Convert to fraction form
    428,474.40/642,713.92 = 128,952.96/x
  3. Step 3: Cross multiply
    428,474.40x = 642,713.92 × 128,952.96
  4. Step 4: Simplify right side
    428,474.40x = 82,879,862,417.20
  5. Step 5: Solve for x
    x = 82,879,862,417.20/428,474.40
  6. Step 6: Final answer
    x = 193,430.14

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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.