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Finding the Fourth Proportional to 282,065.40, 422,876.59 and 193,049.03

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Solution

The fourth proportional to 282,065.40, 422,876.59 and 193,049.03 is: 289,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,065.40 : 422,876.59 = 193,049.03 : x
  2. Step 2: Convert to fraction form
    282,065.40/422,876.59 = 193,049.03/x
  3. Step 3: Cross multiply
    282,065.40x = 422,876.59 × 193,049.03
  4. Step 4: Simplify right side
    282,065.40x = 81,635,915,509.21
  5. Step 5: Solve for x
    x = 81,635,915,509.21/282,065.40
  6. Step 6: Final answer
    x = 289,421.94

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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.