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Finding the Fourth Proportional to 417,065.40, 625,598.10 and 150,834.60

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Solution

The fourth proportional to 417,065.40, 625,598.10 and 150,834.60 is: 226,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,065.40 : 625,598.10 = 150,834.60 : x
  2. Step 2: Convert to fraction form
    417,065.40/625,598.10 = 150,834.60/x
  3. Step 3: Cross multiply
    417,065.40x = 625,598.10 × 150,834.60
  4. Step 4: Simplify right side
    417,065.40x = 94,361,839,174.26
  5. Step 5: Solve for x
    x = 94,361,839,174.26/417,065.40
  6. Step 6: Final answer
    x = 226,251.90

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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.