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Finding the Fourth Proportional to 296,253.40, 408,829.43 and 167,219.03

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Solution

The fourth proportional to 296,253.40, 408,829.43 and 167,219.03 is: 230,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,253.40 : 408,829.43 = 167,219.03 : x
  2. Step 2: Convert to fraction form
    296,253.40/408,829.43 = 167,219.03/x
  3. Step 3: Cross multiply
    296,253.40x = 408,829.43 × 167,219.03
  4. Step 4: Simplify right side
    296,253.40x = 68,364,061,219.57
  5. Step 5: Solve for x
    x = 68,364,061,219.57/296,253.40
  6. Step 6: Final answer
    x = 230,762.12

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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.