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Finding the Fourth Proportional to 465,881.91, 698,324.58 and 241,015.92

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Solution

The fourth proportional to 465,881.91, 698,324.58 and 241,015.92 is: 361,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,881.91 : 698,324.58 = 241,015.92 : x
  2. Step 2: Convert to fraction form
    465,881.91/698,324.58 = 241,015.92/x
  3. Step 3: Cross multiply
    465,881.91x = 698,324.58 × 241,015.92
  4. Step 4: Simplify right side
    465,881.91x = 168,307,341,107.31
  5. Step 5: Solve for x
    x = 168,307,341,107.31/465,881.91
  6. Step 6: Final answer
    x = 361,266.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.