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Finding the Fourth Proportional to 277,410.22, 416,016.91 and 99,869.56

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Solution

The fourth proportional to 277,410.22, 416,016.91 and 99,869.56 is: 149,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,410.22 : 416,016.91 = 99,869.56 : x
  2. Step 2: Convert to fraction form
    277,410.22/416,016.91 = 99,869.56/x
  3. Step 3: Cross multiply
    277,410.22x = 416,016.91 × 99,869.56
  4. Step 4: Simplify right side
    277,410.22x = 41,547,424,839.05
  5. Step 5: Solve for x
    x = 41,547,424,839.05/277,410.22
  6. Step 6: Final answer
    x = 149,768.91

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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.