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Finding the Fourth Proportional to 299,073.24, 412,714.98 and 164,937.24

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Solution

The fourth proportional to 299,073.24, 412,714.98 and 164,937.24 is: 227,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,073.24 : 412,714.98 = 164,937.24 : x
  2. Step 2: Convert to fraction form
    299,073.24/412,714.98 = 164,937.24/x
  3. Step 3: Cross multiply
    299,073.24x = 412,714.98 × 164,937.24
  4. Step 4: Simplify right side
    299,073.24x = 68,072,069,707.86
  5. Step 5: Solve for x
    x = 68,072,069,707.86/299,073.24
  6. Step 6: Final answer
    x = 227,610.03

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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.