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Finding the Fourth Proportional to 367,314.85, 506,866.69 and 206,138.76

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Solution

The fourth proportional to 367,314.85, 506,866.69 and 206,138.76 is: 284,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,314.85 : 506,866.69 = 206,138.76 : x
  2. Step 2: Convert to fraction form
    367,314.85/506,866.69 = 206,138.76/x
  3. Step 3: Cross multiply
    367,314.85x = 506,866.69 × 206,138.76
  4. Step 4: Simplify right side
    367,314.85x = 104,484,871,010.42
  5. Step 5: Solve for x
    x = 104,484,871,010.42/367,314.85
  6. Step 6: Final answer
    x = 284,455.88

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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.