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Finding the Fourth Proportional to 367,183.28, 506,710.92 and 206,038.16

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Solution

The fourth proportional to 367,183.28, 506,710.92 and 206,038.16 is: 284,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,183.28 : 506,710.92 = 206,038.16 : x
  2. Step 2: Convert to fraction form
    367,183.28/506,710.92 = 206,038.16/x
  3. Step 3: Cross multiply
    367,183.28x = 506,710.92 × 206,038.16
  4. Step 4: Simplify right side
    367,183.28x = 104,401,785,608.71
  5. Step 5: Solve for x
    x = 104,401,785,608.71/367,183.28
  6. Step 6: Final answer
    x = 284,331.53

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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.