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Finding the Fourth Proportional to 415,529.26, 573,205.71 and 277,945.90

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Solution

The fourth proportional to 415,529.26, 573,205.71 and 277,945.90 is: 383,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,529.26 : 573,205.71 = 277,945.90 : x
  2. Step 2: Convert to fraction form
    415,529.26/573,205.71 = 277,945.90/x
  3. Step 3: Cross multiply
    415,529.26x = 573,205.71 × 277,945.90
  4. Step 4: Simplify right side
    415,529.26x = 159,320,176,560.37
  5. Step 5: Solve for x
    x = 159,320,176,560.37/415,529.26
  6. Step 6: Final answer
    x = 383,415.06

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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.