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Finding the Fourth Proportional to 467,878.20, 701,817.30 and 432,448.80

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Solution

The fourth proportional to 467,878.20, 701,817.30 and 432,448.80 is: 648,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,878.20 : 701,817.30 = 432,448.80 : x
  2. Step 2: Convert to fraction form
    467,878.20/701,817.30 = 432,448.80/x
  3. Step 3: Cross multiply
    467,878.20x = 701,817.30 × 432,448.80
  4. Step 4: Simplify right side
    467,878.20x = 303,500,049,204.24
  5. Step 5: Solve for x
    x = 303,500,049,204.24/467,878.20
  6. Step 6: Final answer
    x = 648,673.20

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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.