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Finding the Fourth Proportional to 417,071.16, 625,606.74 and 150,769.35

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Solution

The fourth proportional to 417,071.16, 625,606.74 and 150,769.35 is: 226,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,071.16 : 625,606.74 = 150,769.35 : x
  2. Step 2: Convert to fraction form
    417,071.16/625,606.74 = 150,769.35/x
  3. Step 3: Cross multiply
    417,071.16x = 625,606.74 × 150,769.35
  4. Step 4: Simplify right side
    417,071.16x = 94,322,321,545.42
  5. Step 5: Solve for x
    x = 94,322,321,545.42/417,071.16
  6. Step 6: Final answer
    x = 226,154.03

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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.