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Finding the Fourth Proportional to 411,098.70, 616,923.45 and 144,859.80

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Solution

The fourth proportional to 411,098.70, 616,923.45 and 144,859.80 is: 217,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,098.70 : 616,923.45 = 144,859.80 : x
  2. Step 2: Convert to fraction form
    411,098.70/616,923.45 = 144,859.80/x
  3. Step 3: Cross multiply
    411,098.70x = 616,923.45 × 144,859.80
  4. Step 4: Simplify right side
    411,098.70x = 89,367,407,582.31
  5. Step 5: Solve for x
    x = 89,367,407,582.31/411,098.70
  6. Step 6: Final answer
    x = 217,386.74

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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.