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Finding the Fourth Proportional to 277,733.80, 416,924.70 and 144,764.20

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Solution

The fourth proportional to 277,733.80, 416,924.70 and 144,764.20 is: 217,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,733.80 : 416,924.70 = 144,764.20 : x
  2. Step 2: Convert to fraction form
    277,733.80/416,924.70 = 144,764.20/x
  3. Step 3: Cross multiply
    277,733.80x = 416,924.70 × 144,764.20
  4. Step 4: Simplify right side
    277,733.80x = 60,355,770,655.74
  5. Step 5: Solve for x
    x = 60,355,770,655.74/277,733.80
  6. Step 6: Final answer
    x = 217,315.18

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1.5x scale

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.