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Finding the Fourth Proportional to 329,044.10, 461,711.50 and 329,044.10

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Solution

The fourth proportional to 329,044.10, 461,711.50 and 329,044.10 is: 461,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,044.10 : 461,711.50 = 329,044.10 : x
  2. Step 2: Convert to fraction form
    329,044.10/461,711.50 = 329,044.10/x
  3. Step 3: Cross multiply
    329,044.10x = 461,711.50 × 329,044.10
  4. Step 4: Simplify right side
    329,044.10x = 151,923,444,977.15
  5. Step 5: Solve for x
    x = 151,923,444,977.15/329,044.10
  6. Step 6: Final answer
    x = 461,711.50

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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.