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Finding the Fourth Proportional to 277,697.09, 416,265.11 and 109,335.55

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Solution

The fourth proportional to 277,697.09, 416,265.11 and 109,335.55 is: 163,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,697.09 : 416,265.11 = 109,335.55 : x
  2. Step 2: Convert to fraction form
    277,697.09/416,265.11 = 109,335.55/x
  3. Step 3: Cross multiply
    277,697.09x = 416,265.11 × 109,335.55
  4. Step 4: Simplify right side
    277,697.09x = 45,512,574,747.66
  5. Step 5: Solve for x
    x = 45,512,574,747.66/277,697.09
  6. Step 6: Final answer
    x = 163,892.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.