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Finding the Fourth Proportional to 376,684.43, 565,023.57 and 152,041.41

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Solution

The fourth proportional to 376,684.43, 565,023.57 and 152,041.41 is: 228,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,684.43 : 565,023.57 = 152,041.41 : x
  2. Step 2: Convert to fraction form
    376,684.43/565,023.57 = 152,041.41/x
  3. Step 3: Cross multiply
    376,684.43x = 565,023.57 × 152,041.41
  4. Step 4: Simplify right side
    376,684.43x = 85,906,980,266.03
  5. Step 5: Solve for x
    x = 85,906,980,266.03/376,684.43
  6. Step 6: Final answer
    x = 228,060.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.