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Finding the Fourth Proportional to 524,151.07, 786,074.58 and 204,231.58

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Solution

The fourth proportional to 524,151.07, 786,074.58 and 204,231.58 is: 306,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,151.07 : 786,074.58 = 204,231.58 : x
  2. Step 2: Convert to fraction form
    524,151.07/786,074.58 = 204,231.58/x
  3. Step 3: Cross multiply
    524,151.07x = 786,074.58 × 204,231.58
  4. Step 4: Simplify right side
    524,151.07x = 160,541,251,506.05
  5. Step 5: Solve for x
    x = 160,541,251,506.05/524,151.07
  6. Step 6: Final answer
    x = 306,288.13

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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.