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Finding the Fourth Proportional to 411,027.92, 616,554.88 and 111,507.76

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Solution

The fourth proportional to 411,027.92, 616,554.88 and 111,507.76 is: 167,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,027.92 : 616,554.88 = 111,507.76 : x
  2. Step 2: Convert to fraction form
    411,027.92/616,554.88 = 111,507.76/x
  3. Step 3: Cross multiply
    411,027.92x = 616,554.88 × 111,507.76
  4. Step 4: Simplify right side
    411,027.92x = 68,750,653,585.87
  5. Step 5: Solve for x
    x = 68,750,653,585.87/411,027.92
  6. Step 6: Final answer
    x = 167,265.17

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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.