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Finding the Fourth Proportional to 508,234.48, 762,367.60 and 188,465.92

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Solution

The fourth proportional to 508,234.48, 762,367.60 and 188,465.92 is: 282,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,234.48 : 762,367.60 = 188,465.92 : x
  2. Step 2: Convert to fraction form
    508,234.48/762,367.60 = 188,465.92/x
  3. Step 3: Cross multiply
    508,234.48x = 762,367.60 × 188,465.92
  4. Step 4: Simplify right side
    508,234.48x = 143,680,311,112.19
  5. Step 5: Solve for x
    x = 143,680,311,112.19/508,234.48
  6. Step 6: Final answer
    x = 282,704.77

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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.