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Finding the Fourth Proportional to 329,045.10, 461,712.90 and 329,045.10

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Solution

The fourth proportional to 329,045.10, 461,712.90 and 329,045.10 is: 461,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,045.10 : 461,712.90 = 329,045.10 : x
  2. Step 2: Convert to fraction form
    329,045.10/461,712.90 = 329,045.10/x
  3. Step 3: Cross multiply
    329,045.10x = 461,712.90 × 329,045.10
  4. Step 4: Simplify right side
    329,045.10x = 151,924,367,351.79
  5. Step 5: Solve for x
    x = 151,924,367,351.79/329,045.10
  6. Step 6: Final answer
    x = 461,712.90

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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.