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Finding the Fourth Proportional to 277,961.63, 382,791.49 and 260,641.14

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Solution

The fourth proportional to 277,961.63, 382,791.49 and 260,641.14 is: 358,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,961.63 : 382,791.49 = 260,641.14 : x
  2. Step 2: Convert to fraction form
    277,961.63/382,791.49 = 260,641.14/x
  3. Step 3: Cross multiply
    277,961.63x = 382,791.49 × 260,641.14
  4. Step 4: Simplify right side
    277,961.63x = 99,771,209,684.30
  5. Step 5: Solve for x
    x = 99,771,209,684.30/277,961.63
  6. Step 6: Final answer
    x = 358,938.79

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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.