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Finding the Fourth Proportional to 433,532.48, 649,948.64 and 398,540.48

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Solution

The fourth proportional to 433,532.48, 649,948.64 and 398,540.48 is: 597,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,532.48 : 649,948.64 = 398,540.48 : x
  2. Step 2: Convert to fraction form
    433,532.48/649,948.64 = 398,540.48/x
  3. Step 3: Cross multiply
    433,532.48x = 649,948.64 × 398,540.48
  4. Step 4: Simplify right side
    433,532.48x = 259,030,842,960.95
  5. Step 5: Solve for x
    x = 259,030,842,960.95/433,532.48
  6. Step 6: Final answer
    x = 597,488.90

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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.