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Finding the Fourth Proportional to 313,841.86, 433,121.90 and 176,033.73

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Solution

The fourth proportional to 313,841.86, 433,121.90 and 176,033.73 is: 242,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,841.86 : 433,121.90 = 176,033.73 : x
  2. Step 2: Convert to fraction form
    313,841.86/433,121.90 = 176,033.73/x
  3. Step 3: Cross multiply
    313,841.86x = 433,121.90 × 176,033.73
  4. Step 4: Simplify right side
    313,841.86x = 76,244,063,601.69
  5. Step 5: Solve for x
    x = 76,244,063,601.69/313,841.86
  6. Step 6: Final answer
    x = 242,937.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.