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Finding the Fourth Proportional to 296,097.38, 408,615.60 and 160,131.32

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Solution

The fourth proportional to 296,097.38, 408,615.60 and 160,131.32 is: 220,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,097.38 : 408,615.60 = 160,131.32 : x
  2. Step 2: Convert to fraction form
    296,097.38/408,615.60 = 160,131.32/x
  3. Step 3: Cross multiply
    296,097.38x = 408,615.60 × 160,131.32
  4. Step 4: Simplify right side
    296,097.38x = 65,432,153,357.51
  5. Step 5: Solve for x
    x = 65,432,153,357.51/296,097.38
  6. Step 6: Final answer
    x = 220,981.88

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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.