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Finding the Fourth Proportional to 432,847.60, 649,271.40 and 327,871.60

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Solution

The fourth proportional to 432,847.60, 649,271.40 and 327,871.60 is: 491,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,847.60 : 649,271.40 = 327,871.60 : x
  2. Step 2: Convert to fraction form
    432,847.60/649,271.40 = 327,871.60/x
  3. Step 3: Cross multiply
    432,847.60x = 649,271.40 × 327,871.60
  4. Step 4: Simplify right side
    432,847.60x = 212,877,652,752.24
  5. Step 5: Solve for x
    x = 212,877,652,752.24/432,847.60
  6. Step 6: Final answer
    x = 491,807.40

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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.