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Finding the Fourth Proportional to 472,540.60, 708,875.70 and 156,964.60

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Solution

The fourth proportional to 472,540.60, 708,875.70 and 156,964.60 is: 235,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,540.60 : 708,875.70 = 156,964.60 : x
  2. Step 2: Convert to fraction form
    472,540.60/708,875.70 = 156,964.60/x
  3. Step 3: Cross multiply
    472,540.60x = 708,875.70 × 156,964.60
  4. Step 4: Simplify right side
    472,540.60x = 111,268,390,700.22
  5. Step 5: Solve for x
    x = 111,268,390,700.22/472,540.60
  6. Step 6: Final answer
    x = 235,468.42

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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.