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Finding the Fourth Proportional to 277,930.80, 417,453.84 and 165,829.92

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Solution

The fourth proportional to 277,930.80, 417,453.84 and 165,829.92 is: 249,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,930.80 : 417,453.84 = 165,829.92 : x
  2. Step 2: Convert to fraction form
    277,930.80/417,453.84 = 165,829.92/x
  3. Step 3: Cross multiply
    277,930.80x = 417,453.84 × 165,829.92
  4. Step 4: Simplify right side
    277,930.80x = 69,226,336,890.89
  5. Step 5: Solve for x
    x = 69,226,336,890.89/277,930.80
  6. Step 6: Final answer
    x = 249,077.60

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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.