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Finding the Fourth Proportional to 310,632.61, 465,265.92 and 256,713.50

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Solution

The fourth proportional to 310,632.61, 465,265.92 and 256,713.50 is: 384,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,632.61 : 465,265.92 = 256,713.50 : x
  2. Step 2: Convert to fraction form
    310,632.61/465,265.92 = 256,713.50/x
  3. Step 3: Cross multiply
    310,632.61x = 465,265.92 × 256,713.50
  4. Step 4: Simplify right side
    310,632.61x = 119,440,042,753.92
  5. Step 5: Solve for x
    x = 119,440,042,753.92/310,632.61
  6. Step 6: Final answer
    x = 384,505.81

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