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Finding the Fourth Proportional to 299,010.96, 412,632.12 and 163,044.56

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Solution

The fourth proportional to 299,010.96, 412,632.12 and 163,044.56 is: 224,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,010.96 : 412,632.12 = 163,044.56 : x
  2. Step 2: Convert to fraction form
    299,010.96/412,632.12 = 163,044.56/x
  3. Step 3: Cross multiply
    299,010.96x = 412,632.12 × 163,044.56
  4. Step 4: Simplify right side
    299,010.96x = 67,277,424,090.26
  5. Step 5: Solve for x
    x = 67,277,424,090.26/299,010.96
  6. Step 6: Final answer
    x = 224,999.86

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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.