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Finding the Fourth Proportional to 277,658.52, 416,484.12 and 67,298.28

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Solution

The fourth proportional to 277,658.52, 416,484.12 and 67,298.28 is: 100,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,658.52 : 416,484.12 = 67,298.28 : x
  2. Step 2: Convert to fraction form
    277,658.52/416,484.12 = 67,298.28/x
  3. Step 3: Cross multiply
    277,658.52x = 416,484.12 × 67,298.28
  4. Step 4: Simplify right side
    277,658.52x = 28,028,664,923.31
  5. Step 5: Solve for x
    x = 28,028,664,923.31/277,658.52
  6. Step 6: Final answer
    x = 100,946.53

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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.