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Finding the Fourth Proportional to 277,014.12, 415,098.36 and 164,472.72

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Solution

The fourth proportional to 277,014.12, 415,098.36 and 164,472.72 is: 246,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,014.12 : 415,098.36 = 164,472.72 : x
  2. Step 2: Convert to fraction form
    277,014.12/415,098.36 = 164,472.72/x
  3. Step 3: Cross multiply
    277,014.12x = 415,098.36 × 164,472.72
  4. Step 4: Simplify right side
    277,014.12x = 68,272,356,336.74
  5. Step 5: Solve for x
    x = 68,272,356,336.74/277,014.12
  6. Step 6: Final answer
    x = 246,458.04

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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.