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Finding the Fourth Proportional to 420,534.69, 580,332.78 and 239,246.22

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Solution

The fourth proportional to 420,534.69, 580,332.78 and 239,246.22 is: 330,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,534.69 : 580,332.78 = 239,246.22 : x
  2. Step 2: Convert to fraction form
    420,534.69/580,332.78 = 239,246.22/x
  3. Step 3: Cross multiply
    420,534.69x = 580,332.78 × 239,246.22
  4. Step 4: Simplify right side
    420,534.69x = 138,842,423,957.09
  5. Step 5: Solve for x
    x = 138,842,423,957.09/420,534.69
  6. Step 6: Final answer
    x = 330,156.89

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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.