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Finding the Fourth Proportional to 524,152.82, 786,077.19 and 204,233.33

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Solution

The fourth proportional to 524,152.82, 786,077.19 and 204,233.33 is: 306,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,152.82 : 786,077.19 = 204,233.33 : x
  2. Step 2: Convert to fraction form
    524,152.82/786,077.19 = 204,233.33/x
  3. Step 3: Cross multiply
    524,152.82x = 786,077.19 × 204,233.33
  4. Step 4: Simplify right side
    524,152.82x = 160,543,162,150.74
  5. Step 5: Solve for x
    x = 160,543,162,150.74/524,152.82
  6. Step 6: Final answer
    x = 306,290.75

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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.