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Finding the Fourth Proportional to 299,088.96, 412,778.23 and 170,046.88

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Solution

The fourth proportional to 299,088.96, 412,778.23 and 170,046.88 is: 234,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088.96 : 412,778.23 = 170,046.88 : x
  2. Step 2: Convert to fraction form
    299,088.96/412,778.23 = 170,046.88/x
  3. Step 3: Cross multiply
    299,088.96x = 412,778.23 × 170,046.88
  4. Step 4: Simplify right side
    299,088.96x = 70,191,648,686.36
  5. Step 5: Solve for x
    x = 70,191,648,686.36/299,088.96
  6. Step 6: Final answer
    x = 234,684.86

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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.