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Finding the Fourth Proportional to 432,880.80, 649,321.20 and 359,152.80

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Solution

The fourth proportional to 432,880.80, 649,321.20 and 359,152.80 is: 538,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,880.80 : 649,321.20 = 359,152.80 : x
  2. Step 2: Convert to fraction form
    432,880.80/649,321.20 = 359,152.80/x
  3. Step 3: Cross multiply
    432,880.80x = 649,321.20 × 359,152.80
  4. Step 4: Simplify right side
    432,880.80x = 233,205,527,079.36
  5. Step 5: Solve for x
    x = 233,205,527,079.36/432,880.80
  6. Step 6: Final answer
    x = 538,729.20

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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.