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Finding the Fourth Proportional to 296,140.89, 408,674.00 and 167,079.20

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Solution

The fourth proportional to 296,140.89, 408,674.00 and 167,079.20 is: 230,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,140.89 : 408,674.00 = 167,079.20 : x
  2. Step 2: Convert to fraction form
    296,140.89/408,674.00 = 167,079.20/x
  3. Step 3: Cross multiply
    296,140.89x = 408,674.00 × 167,079.20
  4. Step 4: Simplify right side
    296,140.89x = 68,280,922,102.03
  5. Step 5: Solve for x
    x = 68,280,922,102.03/296,140.89
  6. Step 6: Final answer
    x = 230,569.04

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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.