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Finding the Fourth Proportional to 395,452.50, 593,056.08 and 142,700.10

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Solution

The fourth proportional to 395,452.50, 593,056.08 and 142,700.10 is: 214,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,452.50 : 593,056.08 = 142,700.10 : x
  2. Step 2: Convert to fraction form
    395,452.50/593,056.08 = 142,700.10/x
  3. Step 3: Cross multiply
    395,452.50x = 593,056.08 × 142,700.10
  4. Step 4: Simplify right side
    395,452.50x = 84,629,161,921.61
  5. Step 5: Solve for x
    x = 84,629,161,921.61/395,452.50
  6. Step 6: Final answer
    x = 214,005.88

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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.