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Finding the Fourth Proportional to 277,484.67, 382,928.84 and 150,160.26

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Solution

The fourth proportional to 277,484.67, 382,928.84 and 150,160.26 is: 207,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,484.67 : 382,928.84 = 150,160.26 : x
  2. Step 2: Convert to fraction form
    277,484.67/382,928.84 = 150,160.26/x
  3. Step 3: Cross multiply
    277,484.67x = 382,928.84 × 150,160.26
  4. Step 4: Simplify right side
    277,484.67x = 57,500,695,508.62
  5. Step 5: Solve for x
    x = 57,500,695,508.62/277,484.67
  6. Step 6: Final answer
    x = 207,221.16

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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.