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Finding the Fourth Proportional to 306,400.24, 422,832.30 and 172,264.24

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Solution

The fourth proportional to 306,400.24, 422,832.30 and 172,264.24 is: 237,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,400.24 : 422,832.30 = 172,264.24 : x
  2. Step 2: Convert to fraction form
    306,400.24/422,832.30 = 172,264.24/x
  3. Step 3: Cross multiply
    306,400.24x = 422,832.30 × 172,264.24
  4. Step 4: Simplify right side
    306,400.24x = 72,838,884,806.95
  5. Step 5: Solve for x
    x = 72,838,884,806.95/306,400.24
  6. Step 6: Final answer
    x = 237,724.63

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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.