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Finding the Fourth Proportional to 277,500.38, 382,631.28 and 205,008.16

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Solution

The fourth proportional to 277,500.38, 382,631.28 and 205,008.16 is: 282,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,500.38 : 382,631.28 = 205,008.16 : x
  2. Step 2: Convert to fraction form
    277,500.38/382,631.28 = 205,008.16/x
  3. Step 3: Cross multiply
    277,500.38x = 382,631.28 × 205,008.16
  4. Step 4: Simplify right side
    277,500.38x = 78,442,534,671.24
  5. Step 5: Solve for x
    x = 78,442,534,671.24/277,500.38
  6. Step 6: Final answer
    x = 282,675.41

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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.