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Finding the Fourth Proportional to 277,348.77, 382,741.29 and 150,024.33

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Solution

The fourth proportional to 277,348.77, 382,741.29 and 150,024.33 is: 207,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,348.77 : 382,741.29 = 150,024.33 : x
  2. Step 2: Convert to fraction form
    277,348.77/382,741.29 = 150,024.33/x
  3. Step 3: Cross multiply
    277,348.77x = 382,741.29 × 150,024.33
  4. Step 4: Simplify right side
    277,348.77x = 57,420,505,595.59
  5. Step 5: Solve for x
    x = 57,420,505,595.59/277,348.77
  6. Step 6: Final answer
    x = 207,033.57

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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.