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Finding the Fourth Proportional to 504,164.52, 695,761.86 and 277,824.60

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Solution

The fourth proportional to 504,164.52, 695,761.86 and 277,824.60 is: 383,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,164.52 : 695,761.86 = 277,824.60 : x
  2. Step 2: Convert to fraction form
    504,164.52/695,761.86 = 277,824.60/x
  3. Step 3: Cross multiply
    504,164.52x = 695,761.86 × 277,824.60
  4. Step 4: Simplify right side
    504,164.52x = 193,299,760,449.76
  5. Step 5: Solve for x
    x = 193,299,760,449.76/504,164.52
  6. Step 6: Final answer
    x = 383,406.12

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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.