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Finding the Fourth Proportional to 338,244.50, 506,926.10 and 188,478.74

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Solution

The fourth proportional to 338,244.50, 506,926.10 and 188,478.74 is: 282,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,244.50 : 506,926.10 = 188,478.74 : x
  2. Step 2: Convert to fraction form
    338,244.50/506,926.10 = 188,478.74/x
  3. Step 3: Cross multiply
    338,244.50x = 506,926.10 × 188,478.74
  4. Step 4: Simplify right side
    338,244.50x = 95,544,789,124.09
  5. Step 5: Solve for x
    x = 95,544,789,124.09/338,244.50
  6. Step 6: Final answer
    x = 282,472.56

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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.