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Finding the Fourth Proportional to 411,069.33, 616,850.01 and 145,053.54

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Solution

The fourth proportional to 411,069.33, 616,850.01 and 145,053.54 is: 217,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,069.33 : 616,850.01 = 145,053.54 : x
  2. Step 2: Convert to fraction form
    411,069.33/616,850.01 = 145,053.54/x
  3. Step 3: Cross multiply
    411,069.33x = 616,850.01 × 145,053.54
  4. Step 4: Simplify right side
    411,069.33x = 89,476,277,599.54
  5. Step 5: Solve for x
    x = 89,476,277,599.54/411,069.33
  6. Step 6: Final answer
    x = 217,667.12

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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.