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Finding the Fourth Proportional to 432,008.20, 648,012.30 and 407,513.80

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Solution

The fourth proportional to 432,008.20, 648,012.30 and 407,513.80 is: 611,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,008.20 : 648,012.30 = 407,513.80 : x
  2. Step 2: Convert to fraction form
    432,008.20/648,012.30 = 407,513.80/x
  3. Step 3: Cross multiply
    432,008.20x = 648,012.30 × 407,513.80
  4. Step 4: Simplify right side
    432,008.20x = 264,073,954,819.74
  5. Step 5: Solve for x
    x = 264,073,954,819.74/432,008.20
  6. Step 6: Final answer
    x = 611,270.70

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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.