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Finding the Fourth Proportional to 472,358.80, 708,084.60 and 156,653.20

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Solution

The fourth proportional to 472,358.80, 708,084.60 and 156,653.20 is: 234,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,358.80 : 708,084.60 = 156,653.20 : x
  2. Step 2: Convert to fraction form
    472,358.80/708,084.60 = 156,653.20/x
  3. Step 3: Cross multiply
    472,358.80x = 708,084.60 × 156,653.20
  4. Step 4: Simplify right side
    472,358.80x = 110,923,718,460.72
  5. Step 5: Solve for x
    x = 110,923,718,460.72/472,358.80
  6. Step 6: Final answer
    x = 234,829.37

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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.