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Finding the Fourth Proportional to 288,710.64, 398,223 and 188,244.72

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Solution

The fourth proportional to 288,710.64, 398,223 and 188,244.72 is: 259,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,710.64 : 398,223 = 188,244.72 : x
  2. Step 2: Convert to fraction form
    288,710.64/398,223 = 188,244.72/x
  3. Step 3: Cross multiply
    288,710.64x = 398,223 × 188,244.72
  4. Step 4: Simplify right side
    288,710.64x = 74,963,377,132.56
  5. Step 5: Solve for x
    x = 74,963,377,132.56/288,710.64
  6. Step 6: Final answer
    x = 259,648.82

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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.