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Finding the Fourth Proportional to 464,766.90, 697,135.95 and 132,342.90

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Solution

The fourth proportional to 464,766.90, 697,135.95 and 132,342.90 is: 198,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,766.90 : 697,135.95 = 132,342.90 : x
  2. Step 2: Convert to fraction form
    464,766.90/697,135.95 = 132,342.90/x
  3. Step 3: Cross multiply
    464,766.90x = 697,135.95 × 132,342.90
  4. Step 4: Simplify right side
    464,766.90x = 92,260,993,317.26
  5. Step 5: Solve for x
    x = 92,260,993,317.26/464,766.90
  6. Step 6: Final answer
    x = 198,510.25

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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.