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Finding the Fourth Proportional to 410,066.87, 565,892.63 and 228,778.83

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Solution

The fourth proportional to 410,066.87, 565,892.63 and 228,778.83 is: 315,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,066.87 : 565,892.63 = 228,778.83 : x
  2. Step 2: Convert to fraction form
    410,066.87/565,892.63 = 228,778.83/x
  3. Step 3: Cross multiply
    410,066.87x = 565,892.63 × 228,778.83
  4. Step 4: Simplify right side
    410,066.87x = 129,464,250,967.56
  5. Step 5: Solve for x
    x = 129,464,250,967.56/410,066.87
  6. Step 6: Final answer
    x = 315,714.98

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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.