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Finding the Fourth Proportional to 277,898.06, 417,405.08 and 165,797.30

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Solution

The fourth proportional to 277,898.06, 417,405.08 and 165,797.30 is: 249,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,898.06 : 417,405.08 = 165,797.30 : x
  2. Step 2: Convert to fraction form
    277,898.06/417,405.08 = 165,797.30/x
  3. Step 3: Cross multiply
    277,898.06x = 417,405.08 × 165,797.30
  4. Step 4: Simplify right side
    277,898.06x = 69,204,635,270.28
  5. Step 5: Solve for x
    x = 69,204,635,270.28/277,898.06
  6. Step 6: Final answer
    x = 249,028.85

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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.