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Finding the Fourth Proportional to 423,827.92, 584,892.84 and 232,853.68

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Solution

The fourth proportional to 423,827.92, 584,892.84 and 232,853.68 is: 321,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,827.92 : 584,892.84 = 232,853.68 : x
  2. Step 2: Convert to fraction form
    423,827.92/584,892.84 = 232,853.68/x
  3. Step 3: Cross multiply
    423,827.92x = 584,892.84 × 232,853.68
  4. Step 4: Simplify right side
    423,827.92x = 136,194,450,199.65
  5. Step 5: Solve for x
    x = 136,194,450,199.65/423,827.92
  6. Step 6: Final answer
    x = 321,343.74

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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.