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Finding the Fourth Proportional to 408,883.98, 564,259.76 and 227,592.02

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Solution

The fourth proportional to 408,883.98, 564,259.76 and 227,592.02 is: 314,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,883.98 : 564,259.76 = 227,592.02 : x
  2. Step 2: Convert to fraction form
    408,883.98/564,259.76 = 227,592.02/x
  3. Step 3: Cross multiply
    408,883.98x = 564,259.76 × 227,592.02
  4. Step 4: Simplify right side
    408,883.98x = 128,421,018,583.12
  5. Step 5: Solve for x
    x = 128,421,018,583.12/408,883.98
  6. Step 6: Final answer
    x = 314,076.91

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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.