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Finding the Fourth Proportional to 265,913.16, 398,283.72 and 219,797.24

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Solution

The fourth proportional to 265,913.16, 398,283.72 and 219,797.24 is: 329,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,913.16 : 398,283.72 = 219,797.24 : x
  2. Step 2: Convert to fraction form
    265,913.16/398,283.72 = 219,797.24/x
  3. Step 3: Cross multiply
    265,913.16x = 398,283.72 × 219,797.24
  4. Step 4: Simplify right side
    265,913.16x = 87,541,662,392.93
  5. Step 5: Solve for x
    x = 87,541,662,392.93/265,913.16
  6. Step 6: Final answer
    x = 329,211.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.