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Finding the Fourth Proportional to 367,384.71, 506,990.64 and 206,240.07

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Solution

The fourth proportional to 367,384.71, 506,990.64 and 206,240.07 is: 284,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,384.71 : 506,990.64 = 206,240.07 : x
  2. Step 2: Convert to fraction form
    367,384.71/506,990.64 = 206,240.07/x
  3. Step 3: Cross multiply
    367,384.71x = 506,990.64 × 206,240.07
  4. Step 4: Simplify right side
    367,384.71x = 104,561,785,082.95
  5. Step 5: Solve for x
    x = 104,561,785,082.95/367,384.71
  6. Step 6: Final answer
    x = 284,611.15

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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.