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Finding the Fourth Proportional to 277,437.40, 382,825.19 and 154,914.82

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Solution

The fourth proportional to 277,437.40, 382,825.19 and 154,914.82 is: 213,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,437.40 : 382,825.19 = 154,914.82 : x
  2. Step 2: Convert to fraction form
    277,437.40/382,825.19 = 154,914.82/x
  3. Step 3: Cross multiply
    277,437.40x = 382,825.19 × 154,914.82
  4. Step 4: Simplify right side
    277,437.40x = 59,305,294,830.54
  5. Step 5: Solve for x
    x = 59,305,294,830.54/277,437.40
  6. Step 6: Final answer
    x = 213,761.00

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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.