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Finding the Fourth Proportional to 397,250.70, 596,106.45 and 147,957.90

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Solution

The fourth proportional to 397,250.70, 596,106.45 and 147,957.90 is: 222,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,250.70 : 596,106.45 = 147,957.90 : x
  2. Step 2: Convert to fraction form
    397,250.70/596,106.45 = 147,957.90/x
  3. Step 3: Cross multiply
    397,250.70x = 596,106.45 × 147,957.90
  4. Step 4: Simplify right side
    397,250.70x = 88,198,658,518.46
  5. Step 5: Solve for x
    x = 88,198,658,518.46/397,250.70
  6. Step 6: Final answer
    x = 222,022.66

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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.