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Finding the Fourth Proportional to 299,284.11, 413,082.99 and 172,033.65

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Solution

The fourth proportional to 299,284.11, 413,082.99 and 172,033.65 is: 237,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,284.11 : 413,082.99 = 172,033.65 : x
  2. Step 2: Convert to fraction form
    299,284.11/413,082.99 = 172,033.65/x
  3. Step 3: Cross multiply
    299,284.11x = 413,082.99 × 172,033.65
  4. Step 4: Simplify right side
    299,284.11x = 71,064,174,522.61
  5. Step 5: Solve for x
    x = 71,064,174,522.61/299,284.11
  6. Step 6: Final answer
    x = 237,447.20

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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.