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Finding the Fourth Proportional to 500,843.32, 750,932.80 and 163,765.86

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Solution

The fourth proportional to 500,843.32, 750,932.80 and 163,765.86 is: 245,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,843.32 : 750,932.80 = 163,765.86 : x
  2. Step 2: Convert to fraction form
    500,843.32/750,932.80 = 163,765.86/x
  3. Step 3: Cross multiply
    500,843.32x = 750,932.80 × 163,765.86
  4. Step 4: Simplify right side
    500,843.32x = 122,977,155,794.21
  5. Step 5: Solve for x
    x = 122,977,155,794.21/500,843.32
  6. Step 6: Final answer
    x = 245,540.17

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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.