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Finding the Fourth Proportional to 309,227.10, 426,731.67 and 175,091.10

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Solution

The fourth proportional to 309,227.10, 426,731.67 and 175,091.10 is: 241,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,227.10 : 426,731.67 = 175,091.10 : x
  2. Step 2: Convert to fraction form
    309,227.10/426,731.67 = 175,091.10/x
  3. Step 3: Cross multiply
    309,227.10x = 426,731.67 × 175,091.10
  4. Step 4: Simplify right side
    309,227.10x = 74,716,917,505.14
  5. Step 5: Solve for x
    x = 74,716,917,505.14/309,227.10
  6. Step 6: Final answer
    x = 241,624.74

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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.