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Finding the Fourth Proportional to 457,812.40, 686,653.80 and 142,301.20

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Solution

The fourth proportional to 457,812.40, 686,653.80 and 142,301.20 is: 213,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812.40 : 686,653.80 = 142,301.20 : x
  2. Step 2: Convert to fraction form
    457,812.40/686,653.80 = 142,301.20/x
  3. Step 3: Cross multiply
    457,812.40x = 686,653.80 × 142,301.20
  4. Step 4: Simplify right side
    457,812.40x = 97,711,659,724.56
  5. Step 5: Solve for x
    x = 97,711,659,724.56/457,812.40
  6. Step 6: Final answer
    x = 213,431.66

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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.