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Finding the Fourth Proportional to 298,892.18, 412,456.16 and 169,813.76

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Solution

The fourth proportional to 298,892.18, 412,456.16 and 169,813.76 is: 234,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,892.18 : 412,456.16 = 169,813.76 : x
  2. Step 2: Convert to fraction form
    298,892.18/412,456.16 = 169,813.76/x
  3. Step 3: Cross multiply
    298,892.18x = 412,456.16 × 169,813.76
  4. Step 4: Simplify right side
    298,892.18x = 70,040,731,364.76
  5. Step 5: Solve for x
    x = 70,040,731,364.76/298,892.18
  6. Step 6: Final answer
    x = 234,334.44

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1.5x scale

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.