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Finding the Fourth Proportional to 468,033.20, 702,049.80 and 389,301.20

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Solution

The fourth proportional to 468,033.20, 702,049.80 and 389,301.20 is: 583,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,033.20 : 702,049.80 = 389,301.20 : x
  2. Step 2: Convert to fraction form
    468,033.20/702,049.80 = 389,301.20/x
  3. Step 3: Cross multiply
    468,033.20x = 702,049.80 × 389,301.20
  4. Step 4: Simplify right side
    468,033.20x = 273,308,829,599.76
  5. Step 5: Solve for x
    x = 273,308,829,599.76/468,033.20
  6. Step 6: Final answer
    x = 583,951.80

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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.