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Finding the Fourth Proportional to 410,114.22, 565,902.72 and 228,799.78

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Solution

The fourth proportional to 410,114.22, 565,902.72 and 228,799.78 is: 315,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,114.22 : 565,902.72 = 228,799.78 : x
  2. Step 2: Convert to fraction form
    410,114.22/565,902.72 = 228,799.78/x
  3. Step 3: Cross multiply
    410,114.22x = 565,902.72 × 228,799.78
  4. Step 4: Simplify right side
    410,114.22x = 129,478,417,837.40
  5. Step 5: Solve for x
    x = 129,478,417,837.40/410,114.22
  6. Step 6: Final answer
    x = 315,713.07

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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.