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Finding the Fourth Proportional to 277,353, 382,746.96 and 150,028.59

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Solution

The fourth proportional to 277,353, 382,746.96 and 150,028.59 is: 207,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,353 : 382,746.96 = 150,028.59 : x
  2. Step 2: Convert to fraction form
    277,353/382,746.96 = 150,028.59/x
  3. Step 3: Cross multiply
    277,353x = 382,746.96 × 150,028.59
  4. Step 4: Simplify right side
    277,353x = 57,422,986,735.59
  5. Step 5: Solve for x
    x = 57,422,986,735.59/277,353
  6. Step 6: Final answer
    x = 207,039.36

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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.