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Finding the Fourth Proportional to 524,154.32, 786,079.44 and 204,234.83

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Solution

The fourth proportional to 524,154.32, 786,079.44 and 204,234.83 is: 306,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,154.32 : 786,079.44 = 204,234.83 : x
  2. Step 2: Convert to fraction form
    524,154.32/786,079.44 = 204,234.83/x
  3. Step 3: Cross multiply
    524,154.32x = 786,079.44 × 204,234.83
  4. Step 4: Simplify right side
    524,154.32x = 160,544,800,794.90
  5. Step 5: Solve for x
    x = 160,544,800,794.90/524,154.32
  6. Step 6: Final answer
    x = 306,293.00

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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.