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Finding the Fourth Proportional to 277,404.91, 382,817.17 and 150,077.77

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Solution

The fourth proportional to 277,404.91, 382,817.17 and 150,077.77 is: 207,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,404.91 : 382,817.17 = 150,077.77 : x
  2. Step 2: Convert to fraction form
    277,404.91/382,817.17 = 150,077.77/x
  3. Step 3: Cross multiply
    277,404.91x = 382,817.17 × 150,077.77
  4. Step 4: Simplify right side
    277,404.91x = 57,452,345,859.07
  5. Step 5: Solve for x
    x = 57,452,345,859.07/277,404.91
  6. Step 6: Final answer
    x = 207,106.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.