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Finding the Fourth Proportional to 298,044.62, 411,284.95 and 170,728.41

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Solution

The fourth proportional to 298,044.62, 411,284.95 and 170,728.41 is: 235,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,044.62 : 411,284.95 = 170,728.41 : x
  2. Step 2: Convert to fraction form
    298,044.62/411,284.95 = 170,728.41/x
  3. Step 3: Cross multiply
    298,044.62x = 411,284.95 × 170,728.41
  4. Step 4: Simplify right side
    298,044.62x = 70,218,025,143.61
  5. Step 5: Solve for x
    x = 70,218,025,143.61/298,044.62
  6. Step 6: Final answer
    x = 235,595.68

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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.