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Finding the Fourth Proportional to 277,357.31, 382,631.52 and 162,577.77

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Solution

The fourth proportional to 277,357.31, 382,631.52 and 162,577.77 is: 224,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,357.31 : 382,631.52 = 162,577.77 : x
  2. Step 2: Convert to fraction form
    277,357.31/382,631.52 = 162,577.77/x
  3. Step 3: Cross multiply
    277,357.31x = 382,631.52 × 162,577.77
  4. Step 4: Simplify right side
    277,357.31x = 62,207,379,253.31
  5. Step 5: Solve for x
    x = 62,207,379,253.31/277,357.31
  6. Step 6: Final answer
    x = 224,286.06

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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.