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Finding the Fourth Proportional to 337,480.64, 465,730.66 and 201,489.24

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Solution

The fourth proportional to 337,480.64, 465,730.66 and 201,489.24 is: 278,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,480.64 : 465,730.66 = 201,489.24 : x
  2. Step 2: Convert to fraction form
    337,480.64/465,730.66 = 201,489.24/x
  3. Step 3: Cross multiply
    337,480.64x = 465,730.66 × 201,489.24
  4. Step 4: Simplify right side
    337,480.64x = 93,839,716,728.10
  5. Step 5: Solve for x
    x = 93,839,716,728.10/337,480.64
  6. Step 6: Final answer
    x = 278,059.56

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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.