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Finding the Fourth Proportional to 420,387.69, 580,136.61 and 229,401.08

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Solution

The fourth proportional to 420,387.69, 580,136.61 and 229,401.08 is: 316,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,387.69 : 580,136.61 = 229,401.08 : x
  2. Step 2: Convert to fraction form
    420,387.69/580,136.61 = 229,401.08/x
  3. Step 3: Cross multiply
    420,387.69x = 580,136.61 × 229,401.08
  4. Step 4: Simplify right side
    420,387.69x = 133,083,964,881.54
  5. Step 5: Solve for x
    x = 133,083,964,881.54/420,387.69
  6. Step 6: Final answer
    x = 316,574.36

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