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Finding the Fourth Proportional to 277,473.42, 416,210.31 and 67,111.56

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Solution

The fourth proportional to 277,473.42, 416,210.31 and 67,111.56 is: 100,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,473.42 : 416,210.31 = 67,111.56 : x
  2. Step 2: Convert to fraction form
    277,473.42/416,210.31 = 67,111.56/x
  3. Step 3: Cross multiply
    277,473.42x = 416,210.31 × 67,111.56
  4. Step 4: Simplify right side
    277,473.42x = 27,932,523,192.18
  5. Step 5: Solve for x
    x = 27,932,523,192.18/277,473.42
  6. Step 6: Final answer
    x = 100,667.38

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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.