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Finding the Fourth Proportional to 408,460.96, 563,592.80 and 238,662.24

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Solution

The fourth proportional to 408,460.96, 563,592.80 and 238,662.24 is: 329,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,460.96 : 563,592.80 = 238,662.24 : x
  2. Step 2: Convert to fraction form
    408,460.96/563,592.80 = 238,662.24/x
  3. Step 3: Cross multiply
    408,460.96x = 563,592.80 × 238,662.24
  4. Step 4: Simplify right side
    408,460.96x = 134,508,320,095.87
  5. Step 5: Solve for x
    x = 134,508,320,095.87/408,460.96
  6. Step 6: Final answer
    x = 329,305.20

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1.5x scale

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.