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Finding the Fourth Proportional to 432,822.80, 649,234.20 and 359,094.80

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Solution

The fourth proportional to 432,822.80, 649,234.20 and 359,094.80 is: 538,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,822.80 : 649,234.20 = 359,094.80 : x
  2. Step 2: Convert to fraction form
    432,822.80/649,234.20 = 359,094.80/x
  3. Step 3: Cross multiply
    432,822.80x = 649,234.20 × 359,094.80
  4. Step 4: Simplify right side
    432,822.80x = 233,136,625,202.16
  5. Step 5: Solve for x
    x = 233,136,625,202.16/432,822.80
  6. Step 6: Final answer
    x = 538,642.20

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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.