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Finding the Fourth Proportional to 432,800.35, 649,200.53 and 412,133.20

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Solution

The fourth proportional to 432,800.35, 649,200.53 and 412,133.20 is: 618,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,800.35 : 649,200.53 = 412,133.20 : x
  2. Step 2: Convert to fraction form
    432,800.35/649,200.53 = 412,133.20/x
  3. Step 3: Cross multiply
    432,800.35x = 649,200.53 × 412,133.20
  4. Step 4: Simplify right side
    432,800.35x = 267,557,089,809.93
  5. Step 5: Solve for x
    x = 267,557,089,809.93/432,800.35
  6. Step 6: Final answer
    x = 618,199.80

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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.