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Finding the Fourth Proportional to 367,616.70, 507,313.06 and 206,471.76

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Solution

The fourth proportional to 367,616.70, 507,313.06 and 206,471.76 is: 284,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,616.70 : 507,313.06 = 206,471.76 : x
  2. Step 2: Convert to fraction form
    367,616.70/507,313.06 = 206,471.76/x
  3. Step 3: Cross multiply
    367,616.70x = 507,313.06 × 206,471.76
  4. Step 4: Simplify right side
    367,616.70x = 104,745,820,369.19
  5. Step 5: Solve for x
    x = 104,745,820,369.19/367,616.70
  6. Step 6: Final answer
    x = 284,932.16

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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.