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Finding the Fourth Proportional to 417,079.16, 625,618.74 and 150,777.38

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Solution

The fourth proportional to 417,079.16, 625,618.74 and 150,777.38 is: 226,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,079.16 : 625,618.74 = 150,777.38 : x
  2. Step 2: Convert to fraction form
    417,079.16/625,618.74 = 150,777.38/x
  3. Step 3: Cross multiply
    417,079.16x = 625,618.74 × 150,777.38
  4. Step 4: Simplify right side
    417,079.16x = 94,329,154,496.10
  5. Step 5: Solve for x
    x = 94,329,154,496.10/417,079.16
  6. Step 6: Final answer
    x = 226,166.07

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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.