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Finding the Fourth Proportional to 457,656.80, 686,614.80 and 142,145.60

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Solution

The fourth proportional to 457,656.80, 686,614.80 and 142,145.60 is: 213,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,656.80 : 686,614.80 = 142,145.60 : x
  2. Step 2: Convert to fraction form
    457,656.80/686,614.80 = 142,145.60/x
  3. Step 3: Cross multiply
    457,656.80x = 686,614.80 × 142,145.60
  4. Step 4: Simplify right side
    457,656.80x = 97,599,272,714.88
  5. Step 5: Solve for x
    x = 97,599,272,714.88/457,656.80
  6. Step 6: Final answer
    x = 213,258.65

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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.