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Finding the Fourth Proportional to 296,034.89, 408,528.43 and 160,068.80

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Solution

The fourth proportional to 296,034.89, 408,528.43 and 160,068.80 is: 220,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,034.89 : 408,528.43 = 160,068.80 : x
  2. Step 2: Convert to fraction form
    296,034.89/408,528.43 = 160,068.80/x
  3. Step 3: Cross multiply
    296,034.89x = 408,528.43 × 160,068.80
  4. Step 4: Simplify right side
    296,034.89x = 65,392,652,713.00
  5. Step 5: Solve for x
    x = 65,392,652,713.00/296,034.89
  6. Step 6: Final answer
    x = 220,895.09

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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.