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Finding the Fourth Proportional to 296,280.96, 408,920.94 and 167,258.76

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Solution

The fourth proportional to 296,280.96, 408,920.94 and 167,258.76 is: 230,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,280.96 : 408,920.94 = 167,258.76 : x
  2. Step 2: Convert to fraction form
    296,280.96/408,920.94 = 167,258.76/x
  3. Step 3: Cross multiply
    296,280.96x = 408,920.94 × 167,258.76
  4. Step 4: Simplify right side
    296,280.96x = 68,395,609,362.43
  5. Step 5: Solve for x
    x = 68,395,609,362.43/296,280.96
  6. Step 6: Final answer
    x = 230,847.13

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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.