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Finding the Fourth Proportional to 329,847.70, 462,719.90 and 329,847.70

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Solution

The fourth proportional to 329,847.70, 462,719.90 and 329,847.70 is: 462,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,847.70 : 462,719.90 = 329,847.70 : x
  2. Step 2: Convert to fraction form
    329,847.70/462,719.90 = 329,847.70/x
  3. Step 3: Cross multiply
    329,847.70x = 462,719.90 × 329,847.70
  4. Step 4: Simplify right side
    329,847.70x = 152,627,094,759.23
  5. Step 5: Solve for x
    x = 152,627,094,759.23/329,847.70
  6. Step 6: Final answer
    x = 462,719.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.