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Finding the Fourth Proportional to 457,659.40, 686,540.30 and 142,113.80

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Solution

The fourth proportional to 457,659.40, 686,540.30 and 142,113.80 is: 213,186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,659.40 : 686,540.30 = 142,113.80 : x
  2. Step 2: Convert to fraction form
    457,659.40/686,540.30 = 142,113.80/x
  3. Step 3: Cross multiply
    457,659.40x = 686,540.30 × 142,113.80
  4. Step 4: Simplify right side
    457,659.40x = 97,566,850,886.14
  5. Step 5: Solve for x
    x = 97,566,850,886.14/457,659.40
  6. Step 6: Final answer
    x = 213,186.60

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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.