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Finding the Fourth Proportional to 408,055.42, 563,080.62 and 226,755.88

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Solution

The fourth proportional to 408,055.42, 563,080.62 and 226,755.88 is: 312,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,055.42 : 563,080.62 = 226,755.88 : x
  2. Step 2: Convert to fraction form
    408,055.42/563,080.62 = 226,755.88/x
  3. Step 3: Cross multiply
    408,055.42x = 563,080.62 × 226,755.88
  4. Step 4: Simplify right side
    408,055.42x = 127,681,841,499.05
  5. Step 5: Solve for x
    x = 127,681,841,499.05/408,055.42
  6. Step 6: Final answer
    x = 312,903.19

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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.