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Finding the Fourth Proportional to 442,189.47, 663,284.21 and 109,765.47

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Solution

The fourth proportional to 442,189.47, 663,284.21 and 109,765.47 is: 164,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,189.47 : 663,284.21 = 109,765.47 : x
  2. Step 2: Convert to fraction form
    442,189.47/663,284.21 = 109,765.47/x
  3. Step 3: Cross multiply
    442,189.47x = 663,284.21 × 109,765.47
  4. Step 4: Simplify right side
    442,189.47x = 72,805,703,054.23
  5. Step 5: Solve for x
    x = 72,805,703,054.23/442,189.47
  6. Step 6: Final answer
    x = 164,648.21

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Similar ratio
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1.5x scale

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.