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Finding the Fourth Proportional to 277,890.32, 417,393.45 and 165,789.24

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Solution

The fourth proportional to 277,890.32, 417,393.45 and 165,789.24 is: 249,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,890.32 : 417,393.45 = 165,789.24 : x
  2. Step 2: Convert to fraction form
    277,890.32/417,393.45 = 165,789.24/x
  3. Step 3: Cross multiply
    277,890.32x = 417,393.45 × 165,789.24
  4. Step 4: Simplify right side
    277,890.32x = 69,199,342,856.48
  5. Step 5: Solve for x
    x = 69,199,342,856.48/277,890.32
  6. Step 6: Final answer
    x = 249,016.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.