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Finding the Fourth Proportional to 411,221.96, 616,834.78 and 144,838.08

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Solution

The fourth proportional to 411,221.96, 616,834.78 and 144,838.08 is: 217,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,221.96 : 616,834.78 = 144,838.08 : x
  2. Step 2: Convert to fraction form
    411,221.96/616,834.78 = 144,838.08/x
  3. Step 3: Cross multiply
    411,221.96x = 616,834.78 × 144,838.08
  4. Step 4: Simplify right side
    411,221.96x = 89,341,165,212.42
  5. Step 5: Solve for x
    x = 89,341,165,212.42/411,221.96
  6. Step 6: Final answer
    x = 217,257.77

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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.