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Finding the Fourth Proportional to 457,614.40, 686,421.60 and 426,510.40

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Solution

The fourth proportional to 457,614.40, 686,421.60 and 426,510.40 is: 639,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,614.40 : 686,421.60 = 426,510.40 : x
  2. Step 2: Convert to fraction form
    457,614.40/686,421.60 = 426,510.40/x
  3. Step 3: Cross multiply
    457,614.40x = 686,421.60 × 426,510.40
  4. Step 4: Simplify right side
    457,614.40x = 292,765,951,184.64
  5. Step 5: Solve for x
    x = 292,765,951,184.64/457,614.40
  6. Step 6: Final answer
    x = 639,765.60

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