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Finding the Fourth Proportional to 408,976.80, 564,374.16 and 230,094.24

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Solution

The fourth proportional to 408,976.80, 564,374.16 and 230,094.24 is: 317,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,976.80 : 564,374.16 = 230,094.24 : x
  2. Step 2: Convert to fraction form
    408,976.80/564,374.16 = 230,094.24/x
  3. Step 3: Cross multiply
    408,976.80x = 564,374.16 × 230,094.24
  4. Step 4: Simplify right side
    408,976.80x = 129,859,243,420.84
  5. Step 5: Solve for x
    x = 129,859,243,420.84/408,976.80
  6. Step 6: Final answer
    x = 317,522.27

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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.