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Finding the Fourth Proportional to 411,092.70, 616,914.45 and 144,853.80

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Solution

The fourth proportional to 411,092.70, 616,914.45 and 144,853.80 is: 217,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092.70 : 616,914.45 = 144,853.80 : x
  2. Step 2: Convert to fraction form
    411,092.70/616,914.45 = 144,853.80/x
  3. Step 3: Cross multiply
    411,092.70x = 616,914.45 × 144,853.80
  4. Step 4: Simplify right side
    411,092.70x = 89,362,402,357.41
  5. Step 5: Solve for x
    x = 89,362,402,357.41/411,092.70
  6. Step 6: Final answer
    x = 217,377.74

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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.