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Finding the Fourth Proportional to 504,134.82, 695,701.71 and 277,778.70

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Solution

The fourth proportional to 504,134.82, 695,701.71 and 277,778.70 is: 383,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,134.82 : 695,701.71 = 277,778.70 : x
  2. Step 2: Convert to fraction form
    504,134.82/695,701.71 = 277,778.70/x
  3. Step 3: Cross multiply
    504,134.82x = 695,701.71 × 277,778.70
  4. Step 4: Simplify right side
    504,134.82x = 193,251,116,591.58
  5. Step 5: Solve for x
    x = 193,251,116,591.58/504,134.82
  6. Step 6: Final answer
    x = 383,332.21

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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.