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Finding the Fourth Proportional to 457,434.64, 686,152 and 125,010.64

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Solution

The fourth proportional to 457,434.64, 686,152 and 125,010.64 is: 187,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,434.64 : 686,152 = 125,010.64 : x
  2. Step 2: Convert to fraction form
    457,434.64/686,152 = 125,010.64/x
  3. Step 3: Cross multiply
    457,434.64x = 686,152 × 125,010.64
  4. Step 4: Simplify right side
    457,434.64x = 85,776,300,657.28
  5. Step 5: Solve for x
    x = 85,776,300,657.28/457,434.64
  6. Step 6: Final answer
    x = 187,515.97

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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.