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Finding the Fourth Proportional to 467,807.76, 701,766.57 and 164,109.12

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Solution

The fourth proportional to 467,807.76, 701,766.57 and 164,109.12 is: 246,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,807.76 : 701,766.57 = 164,109.12 : x
  2. Step 2: Convert to fraction form
    467,807.76/701,766.57 = 164,109.12/x
  3. Step 3: Cross multiply
    467,807.76x = 701,766.57 × 164,109.12
  4. Step 4: Simplify right side
    467,807.76x = 115,166,294,248.12
  5. Step 5: Solve for x
    x = 115,166,294,248.12/467,807.76
  6. Step 6: Final answer
    x = 246,182.95

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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.