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Finding the Fourth Proportional to 432,514.20, 648,771.30 and 412,831.20

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Solution

The fourth proportional to 432,514.20, 648,771.30 and 412,831.20 is: 619,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,514.20 : 648,771.30 = 412,831.20 : x
  2. Step 2: Convert to fraction form
    432,514.20/648,771.30 = 412,831.20/x
  3. Step 3: Cross multiply
    432,514.20x = 648,771.30 × 412,831.20
  4. Step 4: Simplify right side
    432,514.20x = 267,833,034,304.56
  5. Step 5: Solve for x
    x = 267,833,034,304.56/432,514.20
  6. Step 6: Final answer
    x = 619,246.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.