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Finding the Fourth Proportional to 410,066.43, 565,892.03 and 228,778.40

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Solution

The fourth proportional to 410,066.43, 565,892.03 and 228,778.40 is: 315,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,066.43 : 565,892.03 = 228,778.40 : x
  2. Step 2: Convert to fraction form
    410,066.43/565,892.03 = 228,778.40/x
  3. Step 3: Cross multiply
    410,066.43x = 565,892.03 × 228,778.40
  4. Step 4: Simplify right side
    410,066.43x = 129,463,869,222.80
  5. Step 5: Solve for x
    x = 129,463,869,222.80/410,066.43
  6. Step 6: Final answer
    x = 315,714.38

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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.