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Finding the Fourth Proportional to 410,928.64, 616,470.72 and 233,635.84

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Solution

The fourth proportional to 410,928.64, 616,470.72 and 233,635.84 is: 350,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,928.64 : 616,470.72 = 233,635.84 : x
  2. Step 2: Convert to fraction form
    410,928.64/616,470.72 = 233,635.84/x
  3. Step 3: Cross multiply
    410,928.64x = 616,470.72 × 233,635.84
  4. Step 4: Simplify right side
    410,928.64x = 144,029,654,502.61
  5. Step 5: Solve for x
    x = 144,029,654,502.61/410,928.64
  6. Step 6: Final answer
    x = 350,497.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.