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Finding the Fourth Proportional to 472,233.60, 708,285.60 and 156,657.60

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Solution

The fourth proportional to 472,233.60, 708,285.60 and 156,657.60 is: 234,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,233.60 : 708,285.60 = 156,657.60 : x
  2. Step 2: Convert to fraction form
    472,233.60/708,285.60 = 156,657.60/x
  3. Step 3: Cross multiply
    472,233.60x = 708,285.60 × 156,657.60
  4. Step 4: Simplify right side
    472,233.60x = 110,958,322,210.56
  5. Step 5: Solve for x
    x = 110,958,322,210.56/472,233.60
  6. Step 6: Final answer
    x = 234,964.90

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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.