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Finding the Fourth Proportional to 503,934.73, 695,429.97 and 277,580.23

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Solution

The fourth proportional to 503,934.73, 695,429.97 and 277,580.23 is: 383,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,934.73 : 695,429.97 = 277,580.23 : x
  2. Step 2: Convert to fraction form
    503,934.73/695,429.97 = 277,580.23/x
  3. Step 3: Cross multiply
    503,934.73x = 695,429.97 × 277,580.23
  4. Step 4: Simplify right side
    503,934.73x = 193,037,611,021.49
  5. Step 5: Solve for x
    x = 193,037,611,021.49/503,934.73
  6. Step 6: Final answer
    x = 383,060.74

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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.