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Finding the Fourth Proportional to 408,995.42, 564,412.41 and 227,702.66

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Solution

The fourth proportional to 408,995.42, 564,412.41 and 227,702.66 is: 314,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,995.42 : 564,412.41 = 227,702.66 : x
  2. Step 2: Convert to fraction form
    408,995.42/564,412.41 = 227,702.66/x
  3. Step 3: Cross multiply
    408,995.42x = 564,412.41 × 227,702.66
  4. Step 4: Simplify right side
    408,995.42x = 128,518,204,271.95
  5. Step 5: Solve for x
    x = 128,518,204,271.95/408,995.42
  6. Step 6: Final answer
    x = 314,228.96

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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.