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Finding the Fourth Proportional to 277,615.38, 383,172.47 and 180,648.35

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Solution

The fourth proportional to 277,615.38, 383,172.47 and 180,648.35 is: 249,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,615.38 : 383,172.47 = 180,648.35 : x
  2. Step 2: Convert to fraction form
    277,615.38/383,172.47 = 180,648.35/x
  3. Step 3: Cross multiply
    277,615.38x = 383,172.47 × 180,648.35
  4. Step 4: Simplify right side
    277,615.38x = 69,219,471,651.82
  5. Step 5: Solve for x
    x = 69,219,471,651.82/277,615.38
  6. Step 6: Final answer
    x = 249,335.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.