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Finding the Fourth Proportional to 401,144.53, 601,712.20 and 97,540.40

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Solution

The fourth proportional to 401,144.53, 601,712.20 and 97,540.40 is: 146,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,144.53 : 601,712.20 = 97,540.40 : x
  2. Step 2: Convert to fraction form
    401,144.53/601,712.20 = 97,540.40/x
  3. Step 3: Cross multiply
    401,144.53x = 601,712.20 × 97,540.40
  4. Step 4: Simplify right side
    401,144.53x = 58,691,249,750.42
  5. Step 5: Solve for x
    x = 58,691,249,750.42/401,144.53
  6. Step 6: Final answer
    x = 146,309.49

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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.