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Finding the Fourth Proportional to 420,646.56, 580,470.12 and 229,623

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Solution

The fourth proportional to 420,646.56, 580,470.12 and 229,623 is: 316,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,646.56 : 580,470.12 = 229,623 : x
  2. Step 2: Convert to fraction form
    420,646.56/580,470.12 = 229,623/x
  3. Step 3: Cross multiply
    420,646.56x = 580,470.12 × 229,623
  4. Step 4: Simplify right side
    420,646.56x = 133,289,290,364.76
  5. Step 5: Solve for x
    x = 133,289,290,364.76/420,646.56
  6. Step 6: Final answer
    x = 316,867.66

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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.