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Finding the Fourth Proportional to 316,471.27, 436,719.49 and 180,549.22

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Solution

The fourth proportional to 316,471.27, 436,719.49 and 180,549.22 is: 249,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,471.27 : 436,719.49 = 180,549.22 : x
  2. Step 2: Convert to fraction form
    316,471.27/436,719.49 = 180,549.22/x
  3. Step 3: Cross multiply
    316,471.27x = 436,719.49 × 180,549.22
  4. Step 4: Simplify right side
    316,471.27x = 78,849,363,278.30
  5. Step 5: Solve for x
    x = 78,849,363,278.30/316,471.27
  6. Step 6: Final answer
    x = 249,151.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.