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Finding the Fourth Proportional to 457,805.60, 686,812.80 and 142,294.40

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Solution

The fourth proportional to 457,805.60, 686,812.80 and 142,294.40 is: 213,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,805.60 : 686,812.80 = 142,294.40 : x
  2. Step 2: Convert to fraction form
    457,805.60/686,812.80 = 142,294.40/x
  3. Step 3: Cross multiply
    457,805.60x = 686,812.80 × 142,294.40
  4. Step 4: Simplify right side
    457,805.60x = 97,729,615,288.32
  5. Step 5: Solve for x
    x = 97,729,615,288.32/457,805.60
  6. Step 6: Final answer
    x = 213,474.05

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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.