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Finding the Fourth Proportional to 467,824.26, 645,597 and 252,963.80

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Solution

The fourth proportional to 467,824.26, 645,597 and 252,963.80 is: 349,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,824.26 : 645,597 = 252,963.80 : x
  2. Step 2: Convert to fraction form
    467,824.26/645,597 = 252,963.80/x
  3. Step 3: Cross multiply
    467,824.26x = 645,597 × 252,963.80
  4. Step 4: Simplify right side
    467,824.26x = 163,312,670,388.60
  5. Step 5: Solve for x
    x = 163,312,670,388.60/467,824.26
  6. Step 6: Final answer
    x = 349,089.79

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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.