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Finding the Fourth Proportional to 311,126.16, 429,226.38 and 230,751.48

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Solution

The fourth proportional to 311,126.16, 429,226.38 and 230,751.48 is: 318,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,126.16 : 429,226.38 = 230,751.48 : x
  2. Step 2: Convert to fraction form
    311,126.16/429,226.38 = 230,751.48/x
  3. Step 3: Cross multiply
    311,126.16x = 429,226.38 × 230,751.48
  4. Step 4: Simplify right side
    311,126.16x = 99,044,622,440.04
  5. Step 5: Solve for x
    x = 99,044,622,440.04/311,126.16
  6. Step 6: Final answer
    x = 318,342.32

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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.