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Finding the Fourth Proportional to 299,663.64, 413,501.22 and 172,380.24

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Solution

The fourth proportional to 299,663.64, 413,501.22 and 172,380.24 is: 237,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,663.64 : 413,501.22 = 172,380.24 : x
  2. Step 2: Convert to fraction form
    299,663.64/413,501.22 = 172,380.24/x
  3. Step 3: Cross multiply
    299,663.64x = 413,501.22 × 172,380.24
  4. Step 4: Simplify right side
    299,663.64x = 71,279,439,543.89
  5. Step 5: Solve for x
    x = 71,279,439,543.89/299,663.64
  6. Step 6: Final answer
    x = 237,864.83

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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.