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Finding the Fourth Proportional to 432,876.10, 649,642.20 and 283,066.60

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Solution

The fourth proportional to 432,876.10, 649,642.20 and 283,066.60 is: 424,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,876.10 : 649,642.20 = 283,066.60 : x
  2. Step 2: Convert to fraction form
    432,876.10/649,642.20 = 283,066.60/x
  3. Step 3: Cross multiply
    432,876.10x = 649,642.20 × 283,066.60
  4. Step 4: Simplify right side
    432,876.10x = 183,892,008,770.52
  5. Step 5: Solve for x
    x = 183,892,008,770.52/432,876.10
  6. Step 6: Final answer
    x = 424,814.42

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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.