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Finding the Fourth Proportional to 296,287.88, 408,874.32 and 160,318.84

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Solution

The fourth proportional to 296,287.88, 408,874.32 and 160,318.84 is: 221,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,287.88 : 408,874.32 = 160,318.84 : x
  2. Step 2: Convert to fraction form
    296,287.88/408,874.32 = 160,318.84/x
  3. Step 3: Cross multiply
    296,287.88x = 408,874.32 × 160,318.84
  4. Step 4: Simplify right side
    296,287.88x = 65,550,256,688.19
  5. Step 5: Solve for x
    x = 65,550,256,688.19/296,287.88
  6. Step 6: Final answer
    x = 221,238.40

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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.