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Finding the Fourth Proportional to 417,064.07, 625,644.74 and 150,949.91

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Solution

The fourth proportional to 417,064.07, 625,644.74 and 150,949.91 is: 226,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,064.07 : 625,644.74 = 150,949.91 : x
  2. Step 2: Convert to fraction form
    417,064.07/625,644.74 = 150,949.91/x
  3. Step 3: Cross multiply
    417,064.07x = 625,644.74 × 150,949.91
  4. Step 4: Simplify right side
    417,064.07x = 94,441,019,136.46
  5. Step 5: Solve for x
    x = 94,441,019,136.46/417,064.07
  6. Step 6: Final answer
    x = 226,442.47

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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.