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Finding the Fourth Proportional to 472,367.44, 708,368 and 156,739.60

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Solution

The fourth proportional to 472,367.44, 708,368 and 156,739.60 is: 235,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,367.44 : 708,368 = 156,739.60 : x
  2. Step 2: Convert to fraction form
    472,367.44/708,368 = 156,739.60/x
  3. Step 3: Cross multiply
    472,367.44x = 708,368 × 156,739.60
  4. Step 4: Simplify right side
    472,367.44x = 111,029,316,972.80
  5. Step 5: Solve for x
    x = 111,029,316,972.80/472,367.44
  6. Step 6: Final answer
    x = 235,048.62

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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.