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Finding the Fourth Proportional to 414,119.64, 571,472.34 and 232,827.06

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Solution

The fourth proportional to 414,119.64, 571,472.34 and 232,827.06 is: 321,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,119.64 : 571,472.34 = 232,827.06 : x
  2. Step 2: Convert to fraction form
    414,119.64/571,472.34 = 232,827.06/x
  3. Step 3: Cross multiply
    414,119.64x = 571,472.34 × 232,827.06
  4. Step 4: Simplify right side
    414,119.64x = 133,054,224,793.52
  5. Step 5: Solve for x
    x = 133,054,224,793.52/414,119.64
  6. Step 6: Final answer
    x = 321,294.17

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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.