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Finding the Fourth Proportional to 343,004.88, 472,928.52 and 252,084

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Solution

The fourth proportional to 343,004.88, 472,928.52 and 252,084 is: 347,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,004.88 : 472,928.52 = 252,084 : x
  2. Step 2: Convert to fraction form
    343,004.88/472,928.52 = 252,084/x
  3. Step 3: Cross multiply
    343,004.88x = 472,928.52 × 252,084
  4. Step 4: Simplify right side
    343,004.88x = 119,217,713,035.68
  5. Step 5: Solve for x
    x = 119,217,713,035.68/343,004.88
  6. Step 6: Final answer
    x = 347,568.56

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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.