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Finding the Fourth Proportional to 420,355.17, 580,085.31 and 229,371.75

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Solution

The fourth proportional to 420,355.17, 580,085.31 and 229,371.75 is: 316,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,355.17 : 580,085.31 = 229,371.75 : x
  2. Step 2: Convert to fraction form
    420,355.17/580,085.31 = 229,371.75/x
  3. Step 3: Cross multiply
    420,355.17x = 580,085.31 × 229,371.75
  4. Step 4: Simplify right side
    420,355.17x = 133,055,182,703.99
  5. Step 5: Solve for x
    x = 133,055,182,703.99/420,355.17
  6. Step 6: Final answer
    x = 316,530.38

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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.