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Finding the Fourth Proportional to 277,722.40, 416,713.20 and 144,752.80

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Solution

The fourth proportional to 277,722.40, 416,713.20 and 144,752.80 is: 217,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,722.40 : 416,713.20 = 144,752.80 : x
  2. Step 2: Convert to fraction form
    277,722.40/416,713.20 = 144,752.80/x
  3. Step 3: Cross multiply
    277,722.40x = 416,713.20 × 144,752.80
  4. Step 4: Simplify right side
    277,722.40x = 60,320,402,496.96
  5. Step 5: Solve for x
    x = 60,320,402,496.96/277,722.40
  6. Step 6: Final answer
    x = 217,196.75

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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.