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Finding the Fourth Proportional to 414,269.46, 571,686.44 and 232,981.34

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Solution

The fourth proportional to 414,269.46, 571,686.44 and 232,981.34 is: 321,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,269.46 : 571,686.44 = 232,981.34 : x
  2. Step 2: Convert to fraction form
    414,269.46/571,686.44 = 232,981.34/x
  3. Step 3: Cross multiply
    414,269.46x = 571,686.44 × 232,981.34
  4. Step 4: Simplify right side
    414,269.46x = 133,192,272,851.03
  5. Step 5: Solve for x
    x = 133,192,272,851.03/414,269.46
  6. Step 6: Final answer
    x = 321,511.20

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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.