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Finding the Fourth Proportional to 349,382.14, 523,699.51 and 159,558.05

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Solution

The fourth proportional to 349,382.14, 523,699.51 and 159,558.05 is: 239,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,382.14 : 523,699.51 = 159,558.05 : x
  2. Step 2: Convert to fraction form
    349,382.14/523,699.51 = 159,558.05/x
  3. Step 3: Cross multiply
    349,382.14x = 523,699.51 × 159,558.05
  4. Step 4: Simplify right side
    349,382.14x = 83,560,473,511.91
  5. Step 5: Solve for x
    x = 83,560,473,511.91/349,382.14
  6. Step 6: Final answer
    x = 239,166.42

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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.