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Finding the Fourth Proportional to 329,001.48, 454,023.42 and 178,098.48

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Solution

The fourth proportional to 329,001.48, 454,023.42 and 178,098.48 is: 245,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,001.48 : 454,023.42 = 178,098.48 : x
  2. Step 2: Convert to fraction form
    329,001.48/454,023.42 = 178,098.48/x
  3. Step 3: Cross multiply
    329,001.48x = 454,023.42 × 178,098.48
  4. Step 4: Simplify right side
    329,001.48x = 80,860,880,986.40
  5. Step 5: Solve for x
    x = 80,860,880,986.40/329,001.48
  6. Step 6: Final answer
    x = 245,776.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.