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Finding the Fourth Proportional to 408,999.13, 564,272.69 and 236,823.10

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Solution

The fourth proportional to 408,999.13, 564,272.69 and 236,823.10 is: 326,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,999.13 : 564,272.69 = 236,823.10 : x
  2. Step 2: Convert to fraction form
    408,999.13/564,272.69 = 236,823.10/x
  3. Step 3: Cross multiply
    408,999.13x = 564,272.69 × 236,823.10
  4. Step 4: Simplify right side
    408,999.13x = 133,632,805,096.34
  5. Step 5: Solve for x
    x = 133,632,805,096.34/408,999.13
  6. Step 6: Final answer
    x = 326,731.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.