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Finding the Fourth Proportional to 408,666.60, 563,948.46 and 227,369.16

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Solution

The fourth proportional to 408,666.60, 563,948.46 and 227,369.16 is: 313,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,666.60 : 563,948.46 = 227,369.16 : x
  2. Step 2: Convert to fraction form
    408,666.60/563,948.46 = 227,369.16/x
  3. Step 3: Cross multiply
    408,666.60x = 563,948.46 × 227,369.16
  4. Step 4: Simplify right side
    408,666.60x = 128,224,487,633.49
  5. Step 5: Solve for x
    x = 128,224,487,633.49/408,666.60
  6. Step 6: Final answer
    x = 313,763.07

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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.