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Finding the Fourth Proportional to 277,461.28, 416,337.72 and 151,192

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Solution

The fourth proportional to 277,461.28, 416,337.72 and 151,192 is: 226,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,461.28 : 416,337.72 = 151,192 : x
  2. Step 2: Convert to fraction form
    277,461.28/416,337.72 = 151,192/x
  3. Step 3: Cross multiply
    277,461.28x = 416,337.72 × 151,192
  4. Step 4: Simplify right side
    277,461.28x = 62,946,932,562.24
  5. Step 5: Solve for x
    x = 62,946,932,562.24/277,461.28
  6. Step 6: Final answer
    x = 226,867.45

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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.