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Finding the Fourth Proportional to 415,422.43, 623,200.03 and 175,538.60

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Solution

The fourth proportional to 415,422.43, 623,200.03 and 175,538.60 is: 263,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.43 : 623,200.03 = 175,538.60 : x
  2. Step 2: Convert to fraction form
    415,422.43/623,200.03 = 175,538.60/x
  3. Step 3: Cross multiply
    415,422.43x = 623,200.03 × 175,538.60
  4. Step 4: Simplify right side
    415,422.43x = 109,395,660,786.16
  5. Step 5: Solve for x
    x = 109,395,660,786.16/415,422.43
  6. Step 6: Final answer
    x = 263,335.95

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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.