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Finding the Fourth Proportional to 408,884.47, 564,260.46 and 227,592.52

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Solution

The fourth proportional to 408,884.47, 564,260.46 and 227,592.52 is: 314,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,884.47 : 564,260.46 = 227,592.52 : x
  2. Step 2: Convert to fraction form
    408,884.47/564,260.46 = 227,592.52/x
  3. Step 3: Cross multiply
    408,884.47x = 564,260.46 × 227,592.52
  4. Step 4: Simplify right side
    408,884.47x = 128,421,460,027.76
  5. Step 5: Solve for x
    x = 128,421,460,027.76/408,884.47
  6. Step 6: Final answer
    x = 314,077.62

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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.