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Finding the Fourth Proportional to 432,871.60, 649,307.40 and 327,895.60

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Solution

The fourth proportional to 432,871.60, 649,307.40 and 327,895.60 is: 491,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,871.60 : 649,307.40 = 327,895.60 : x
  2. Step 2: Convert to fraction form
    432,871.60/649,307.40 = 327,895.60/x
  3. Step 3: Cross multiply
    432,871.60x = 649,307.40 × 327,895.60
  4. Step 4: Simplify right side
    432,871.60x = 212,905,039,507.44
  5. Step 5: Solve for x
    x = 212,905,039,507.44/432,871.60
  6. Step 6: Final answer
    x = 491,843.40

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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.