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Finding the Fourth Proportional to 311,519.16, 429,896.22 and 168,279.24

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Solution

The fourth proportional to 311,519.16, 429,896.22 and 168,279.24 is: 232,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,519.16 : 429,896.22 = 168,279.24 : x
  2. Step 2: Convert to fraction form
    311,519.16/429,896.22 = 168,279.24/x
  3. Step 3: Cross multiply
    311,519.16x = 429,896.22 × 168,279.24
  4. Step 4: Simplify right side
    311,519.16x = 72,342,609,180.47
  5. Step 5: Solve for x
    x = 72,342,609,180.47/311,519.16
  6. Step 6: Final answer
    x = 232,225.23

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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.