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Finding the Fourth Proportional to 504,164.50, 695,761.86 and 277,824.58

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Solution

The fourth proportional to 504,164.50, 695,761.86 and 277,824.58 is: 383,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,164.50 : 695,761.86 = 277,824.58 : x
  2. Step 2: Convert to fraction form
    504,164.50/695,761.86 = 277,824.58/x
  3. Step 3: Cross multiply
    504,164.50x = 695,761.86 × 277,824.58
  4. Step 4: Simplify right side
    504,164.50x = 193,299,746,534.52
  5. Step 5: Solve for x
    x = 193,299,746,534.52/504,164.50
  6. Step 6: Final answer
    x = 383,406.10

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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.