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Finding the Fourth Proportional to 472,511.80, 708,767.70 and 156,968.71

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Solution

The fourth proportional to 472,511.80, 708,767.70 and 156,968.71 is: 235,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,511.80 : 708,767.70 = 156,968.71 : x
  2. Step 2: Convert to fraction form
    472,511.80/708,767.70 = 156,968.71/x
  3. Step 3: Cross multiply
    472,511.80x = 708,767.70 × 156,968.71
  4. Step 4: Simplify right side
    472,511.80x = 111,254,351,558.67
  5. Step 5: Solve for x
    x = 111,254,351,558.67/472,511.80
  6. Step 6: Final answer
    x = 235,453.07

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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.