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Finding the Fourth Proportional to 367,742.28, 506,311.22 and 313,810.86

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Solution

The fourth proportional to 367,742.28, 506,311.22 and 313,810.86 is: 432,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,742.28 : 506,311.22 = 313,810.86 : x
  2. Step 2: Convert to fraction form
    367,742.28/506,311.22 = 313,810.86/x
  3. Step 3: Cross multiply
    367,742.28x = 506,311.22 × 313,810.86
  4. Step 4: Simplify right side
    367,742.28x = 158,885,957,806.80
  5. Step 5: Solve for x
    x = 158,885,957,806.80/367,742.28
  6. Step 6: Final answer
    x = 432,057.90

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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.