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Finding the Fourth Proportional to 488,216.40, 732,756.60 and 288,286.80

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Solution

The fourth proportional to 488,216.40, 732,756.60 and 288,286.80 is: 432,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,216.40 : 732,756.60 = 288,286.80 : x
  2. Step 2: Convert to fraction form
    488,216.40/732,756.60 = 288,286.80/x
  3. Step 3: Cross multiply
    488,216.40x = 732,756.60 × 288,286.80
  4. Step 4: Simplify right side
    488,216.40x = 211,244,055,392.88
  5. Step 5: Solve for x
    x = 211,244,055,392.88/488,216.40
  6. Step 6: Final answer
    x = 432,685.29

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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.