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Finding the Fourth Proportional to 472,763.88, 709,132.86 and 157,226.76

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Solution

The fourth proportional to 472,763.88, 709,132.86 and 157,226.76 is: 235,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,763.88 : 709,132.86 = 157,226.76 : x
  2. Step 2: Convert to fraction form
    472,763.88/709,132.86 = 157,226.76/x
  3. Step 3: Cross multiply
    472,763.88x = 709,132.86 × 157,226.76
  4. Step 4: Simplify right side
    472,763.88x = 111,494,661,987.33
  5. Step 5: Solve for x
    x = 111,494,661,987.33/472,763.88
  6. Step 6: Final answer
    x = 235,835.83

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1.5x scale

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.