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Finding the Fourth Proportional to 349,511.52, 524,268.52 and 106,354.94

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Solution

The fourth proportional to 349,511.52, 524,268.52 and 106,354.94 is: 159,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,511.52 : 524,268.52 = 106,354.94 : x
  2. Step 2: Convert to fraction form
    349,511.52/524,268.52 = 106,354.94/x
  3. Step 3: Cross multiply
    349,511.52x = 524,268.52 × 106,354.94
  4. Step 4: Simplify right side
    349,511.52x = 55,758,546,988.49
  5. Step 5: Solve for x
    x = 55,758,546,988.49/349,511.52
  6. Step 6: Final answer
    x = 159,532.79

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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.