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Finding the Fourth Proportional to 296,290.29, 408,885.87 and 167,254.55

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Solution

The fourth proportional to 296,290.29, 408,885.87 and 167,254.55 is: 230,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,290.29 : 408,885.87 = 167,254.55 : x
  2. Step 2: Convert to fraction form
    296,290.29/408,885.87 = 167,254.55/x
  3. Step 3: Cross multiply
    296,290.29x = 408,885.87 × 167,254.55
  4. Step 4: Simplify right side
    296,290.29x = 68,388,022,188.21
  5. Step 5: Solve for x
    x = 68,388,022,188.21/296,290.29
  6. Step 6: Final answer
    x = 230,814.25

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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.