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Finding the Fourth Proportional to 472,205.60, 708,243.60 and 156,629.60

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Solution

The fourth proportional to 472,205.60, 708,243.60 and 156,629.60 is: 234,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,205.60 : 708,243.60 = 156,629.60 : x
  2. Step 2: Convert to fraction form
    472,205.60/708,243.60 = 156,629.60/x
  3. Step 3: Cross multiply
    472,205.60x = 708,243.60 × 156,629.60
  4. Step 4: Simplify right side
    472,205.60x = 110,931,911,770.56
  5. Step 5: Solve for x
    x = 110,931,911,770.56/472,205.60
  6. Step 6: Final answer
    x = 234,922.91

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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.