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Finding the Fourth Proportional to 465,470.20, 698,205.30 and 306,037.90

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Solution

The fourth proportional to 465,470.20, 698,205.30 and 306,037.90 is: 459,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,470.20 : 698,205.30 = 306,037.90 : x
  2. Step 2: Convert to fraction form
    465,470.20/698,205.30 = 306,037.90/x
  3. Step 3: Cross multiply
    465,470.20x = 698,205.30 × 306,037.90
  4. Step 4: Simplify right side
    465,470.20x = 213,677,283,780.87
  5. Step 5: Solve for x
    x = 213,677,283,780.87/465,470.20
  6. Step 6: Final answer
    x = 459,056.85

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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.