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Finding the Fourth Proportional to 277,102.81, 414,616.24 and 197,325.15

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Solution

The fourth proportional to 277,102.81, 414,616.24 and 197,325.15 is: 295,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,102.81 : 414,616.24 = 197,325.15 : x
  2. Step 2: Convert to fraction form
    277,102.81/414,616.24 = 197,325.15/x
  3. Step 3: Cross multiply
    277,102.81x = 414,616.24 × 197,325.15
  4. Step 4: Simplify right side
    277,102.81x = 81,814,212,746.42
  5. Step 5: Solve for x
    x = 81,814,212,746.42/277,102.81
  6. Step 6: Final answer
    x = 295,248.59

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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.