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Finding the Fourth Proportional to 332,093.20, 498,139.80 and 309,785.80

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Solution

The fourth proportional to 332,093.20, 498,139.80 and 309,785.80 is: 464,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,093.20 : 498,139.80 = 309,785.80 : x
  2. Step 2: Convert to fraction form
    332,093.20/498,139.80 = 309,785.80/x
  3. Step 3: Cross multiply
    332,093.20x = 498,139.80 × 309,785.80
  4. Step 4: Simplify right side
    332,093.20x = 154,316,636,454.84
  5. Step 5: Solve for x
    x = 154,316,636,454.84/332,093.20
  6. Step 6: Final answer
    x = 464,678.70

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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.