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Finding the Fourth Proportional to 296,088.75, 408,612.33 and 161,952.75

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Solution

The fourth proportional to 296,088.75, 408,612.33 and 161,952.75 is: 223,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,088.75 : 408,612.33 = 161,952.75 : x
  2. Step 2: Convert to fraction form
    296,088.75/408,612.33 = 161,952.75/x
  3. Step 3: Cross multiply
    296,088.75x = 408,612.33 × 161,952.75
  4. Step 4: Simplify right side
    296,088.75x = 66,175,890,527.41
  5. Step 5: Solve for x
    x = 66,175,890,527.41/296,088.75
  6. Step 6: Final answer
    x = 223,500.19

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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.