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Finding the Fourth Proportional to 277,319.38, 382,700.82 and 156,486.28

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Solution

The fourth proportional to 277,319.38, 382,700.82 and 156,486.28 is: 215,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,319.38 : 382,700.82 = 156,486.28 : x
  2. Step 2: Convert to fraction form
    277,319.38/382,700.82 = 156,486.28/x
  3. Step 3: Cross multiply
    277,319.38x = 382,700.82 × 156,486.28
  4. Step 4: Simplify right side
    277,319.38x = 59,887,427,674.75
  5. Step 5: Solve for x
    x = 59,887,427,674.75/277,319.38
  6. Step 6: Final answer
    x = 215,951.11

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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.