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Finding the Fourth Proportional to 329,829.70, 462,694.70 and 329,829.70

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Solution

The fourth proportional to 329,829.70, 462,694.70 and 329,829.70 is: 462,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,829.70 : 462,694.70 = 329,829.70 : x
  2. Step 2: Convert to fraction form
    329,829.70/462,694.70 = 329,829.70/x
  3. Step 3: Cross multiply
    329,829.70x = 462,694.70 × 329,829.70
  4. Step 4: Simplify right side
    329,829.70x = 152,610,454,092.59
  5. Step 5: Solve for x
    x = 152,610,454,092.59/329,829.70
  6. Step 6: Final answer
    x = 462,694.70

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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.