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Finding the Fourth Proportional to 432,844.60, 649,266.90 and 401,351.80

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Solution

The fourth proportional to 432,844.60, 649,266.90 and 401,351.80 is: 602,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,844.60 : 649,266.90 = 401,351.80 : x
  2. Step 2: Convert to fraction form
    432,844.60/649,266.90 = 401,351.80/x
  3. Step 3: Cross multiply
    432,844.60x = 649,266.90 × 401,351.80
  4. Step 4: Simplify right side
    432,844.60x = 260,584,438,995.42
  5. Step 5: Solve for x
    x = 260,584,438,995.42/432,844.60
  6. Step 6: Final answer
    x = 602,027.70

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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.