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Finding the Fourth Proportional to 351,647.50, 527,558.74 and 102,329.50

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Solution

The fourth proportional to 351,647.50, 527,558.74 and 102,329.50 is: 153,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,647.50 : 527,558.74 = 102,329.50 : x
  2. Step 2: Convert to fraction form
    351,647.50/527,558.74 = 102,329.50/x
  3. Step 3: Cross multiply
    351,647.50x = 527,558.74 × 102,329.50
  4. Step 4: Simplify right side
    351,647.50x = 53,984,822,084.83
  5. Step 5: Solve for x
    x = 53,984,822,084.83/351,647.50
  6. Step 6: Final answer
    x = 153,519.71

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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.