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Finding the Fourth Proportional to 298,963.95, 412,554.61 and 169,885.16

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Solution

The fourth proportional to 298,963.95, 412,554.61 and 169,885.16 is: 234,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,963.95 : 412,554.61 = 169,885.16 : x
  2. Step 2: Convert to fraction form
    298,963.95/412,554.61 = 169,885.16/x
  3. Step 3: Cross multiply
    298,963.95x = 412,554.61 × 169,885.16
  4. Step 4: Simplify right side
    298,963.95x = 70,086,905,625.25
  5. Step 5: Solve for x
    x = 70,086,905,625.25/298,963.95
  6. Step 6: Final answer
    x = 234,432.63

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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.