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Finding the Fourth Proportional to 417,172.29, 625,776.63 and 204,119.59

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Solution

The fourth proportional to 417,172.29, 625,776.63 and 204,119.59 is: 306,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,172.29 : 625,776.63 = 204,119.59 : x
  2. Step 2: Convert to fraction form
    417,172.29/625,776.63 = 204,119.59/x
  3. Step 3: Cross multiply
    417,172.29x = 625,776.63 × 204,119.59
  4. Step 4: Simplify right side
    417,172.29x = 127,733,267,582.74
  5. Step 5: Solve for x
    x = 127,733,267,582.74/417,172.29
  6. Step 6: Final answer
    x = 306,188.28

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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.