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Finding the Fourth Proportional to 277,564.20, 416,249.10 and 144,400.20

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Solution

The fourth proportional to 277,564.20, 416,249.10 and 144,400.20 is: 216,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,564.20 : 416,249.10 = 144,400.20 : x
  2. Step 2: Convert to fraction form
    277,564.20/416,249.10 = 144,400.20/x
  3. Step 3: Cross multiply
    277,564.20x = 416,249.10 × 144,400.20
  4. Step 4: Simplify right side
    277,564.20x = 60,106,453,289.82
  5. Step 5: Solve for x
    x = 60,106,453,289.82/277,564.20
  6. Step 6: Final answer
    x = 216,549.73

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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.