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Finding the Fourth Proportional to 309,057.38, 426,426.08 and 174,921.38

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Solution

The fourth proportional to 309,057.38, 426,426.08 and 174,921.38 is: 241,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,057.38 : 426,426.08 = 174,921.38 : x
  2. Step 2: Convert to fraction form
    309,057.38/426,426.08 = 174,921.38/x
  3. Step 3: Cross multiply
    309,057.38x = 426,426.08 × 174,921.38
  4. Step 4: Simplify right side
    309,057.38x = 74,591,038,381.59
  5. Step 5: Solve for x
    x = 74,591,038,381.59/309,057.38
  6. Step 6: Final answer
    x = 241,350.13

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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.