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Finding the Fourth Proportional to 259,209.50, 388,814.25 and 62,217.50

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Solution

The fourth proportional to 259,209.50, 388,814.25 and 62,217.50 is: 93,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,209.50 : 388,814.25 = 62,217.50 : x
  2. Step 2: Convert to fraction form
    259,209.50/388,814.25 = 62,217.50/x
  3. Step 3: Cross multiply
    259,209.50x = 388,814.25 × 62,217.50
  4. Step 4: Simplify right side
    259,209.50x = 24,191,050,599.38
  5. Step 5: Solve for x
    x = 24,191,050,599.38/259,209.50
  6. Step 6: Final answer
    x = 93,326.25

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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.