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Finding the Fourth Proportional to 277,898.58, 417,405.83 and 165,797.51

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Solution

The fourth proportional to 277,898.58, 417,405.83 and 165,797.51 is: 249,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,898.58 : 417,405.83 = 165,797.51 : x
  2. Step 2: Convert to fraction form
    277,898.58/417,405.83 = 165,797.51/x
  3. Step 3: Cross multiply
    277,898.58x = 417,405.83 × 165,797.51
  4. Step 4: Simplify right side
    277,898.58x = 69,204,844,357.47
  5. Step 5: Solve for x
    x = 69,204,844,357.47/277,898.58
  6. Step 6: Final answer
    x = 249,029.14

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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.