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Finding the Fourth Proportional to 422,695.90, 632,992.05 and 295,742.20

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Solution

The fourth proportional to 422,695.90, 632,992.05 and 295,742.20 is: 442,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,695.90 : 632,992.05 = 295,742.20 : x
  2. Step 2: Convert to fraction form
    422,695.90/632,992.05 = 295,742.20/x
  3. Step 3: Cross multiply
    422,695.90x = 632,992.05 × 295,742.20
  4. Step 4: Simplify right side
    422,695.90x = 187,202,461,449.51
  5. Step 5: Solve for x
    x = 187,202,461,449.51/422,695.90
  6. Step 6: Final answer
    x = 442,877.40

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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.