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Finding the Fourth Proportional to 277,897, 383,498.11 and 150,572.59

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Solution

The fourth proportional to 277,897, 383,498.11 and 150,572.59 is: 207,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,897 : 383,498.11 = 150,572.59 : x
  2. Step 2: Convert to fraction form
    277,897/383,498.11 = 150,572.59/x
  3. Step 3: Cross multiply
    277,897x = 383,498.11 × 150,572.59
  4. Step 4: Simplify right side
    277,897x = 57,744,303,682.80
  5. Step 5: Solve for x
    x = 57,744,303,682.80/277,897
  6. Step 6: Final answer
    x = 207,790.31

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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.