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Finding the Fourth Proportional to 298,586.52, 448,022.88 and 186,237.84

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Solution

The fourth proportional to 298,586.52, 448,022.88 and 186,237.84 is: 279,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,586.52 : 448,022.88 = 186,237.84 : x
  2. Step 2: Convert to fraction form
    298,586.52/448,022.88 = 186,237.84/x
  3. Step 3: Cross multiply
    298,586.52x = 448,022.88 × 186,237.84
  4. Step 4: Simplify right side
    298,586.52x = 83,438,813,441.78
  5. Step 5: Solve for x
    x = 83,438,813,441.78/298,586.52
  6. Step 6: Final answer
    x = 279,446.02

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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.