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Finding the Fourth Proportional to 410,066.68, 565,892.37 and 228,778.65

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Solution

The fourth proportional to 410,066.68, 565,892.37 and 228,778.65 is: 315,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,066.68 : 565,892.37 = 228,778.65 : x
  2. Step 2: Convert to fraction form
    410,066.68/565,892.37 = 228,778.65/x
  3. Step 3: Cross multiply
    410,066.68x = 565,892.37 × 228,778.65
  4. Step 4: Simplify right side
    410,066.68x = 129,464,092,453.90
  5. Step 5: Solve for x
    x = 129,464,092,453.90/410,066.68
  6. Step 6: Final answer
    x = 315,714.73

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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.