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Finding the Fourth Proportional to 242,258.20, 363,452.10 and 172,274.20

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Solution

The fourth proportional to 242,258.20, 363,452.10 and 172,274.20 is: 258,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,258.20 : 363,452.10 = 172,274.20 : x
  2. Step 2: Convert to fraction form
    242,258.20/363,452.10 = 172,274.20/x
  3. Step 3: Cross multiply
    242,258.20x = 363,452.10 × 172,274.20
  4. Step 4: Simplify right side
    242,258.20x = 62,613,419,765.82
  5. Step 5: Solve for x
    x = 62,613,419,765.82/242,258.20
  6. Step 6: Final answer
    x = 258,457.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.