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Finding the Fourth Proportional to 523,626.12, 785,456.24 and 144,575.28

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Solution

The fourth proportional to 523,626.12, 785,456.24 and 144,575.28 is: 216,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,626.12 : 785,456.24 = 144,575.28 : x
  2. Step 2: Convert to fraction form
    523,626.12/785,456.24 = 144,575.28/x
  3. Step 3: Cross multiply
    523,626.12x = 785,456.24 × 144,575.28
  4. Step 4: Simplify right side
    523,626.12x = 113,557,555,825.75
  5. Step 5: Solve for x
    x = 113,557,555,825.75/523,626.12
  6. Step 6: Final answer
    x = 216,867.63

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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.