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Finding the Fourth Proportional to 503,723.50, 695,138.43 and 277,368.46

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Solution

The fourth proportional to 503,723.50, 695,138.43 and 277,368.46 is: 382,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,723.50 : 695,138.43 = 277,368.46 : x
  2. Step 2: Convert to fraction form
    503,723.50/695,138.43 = 277,368.46/x
  3. Step 3: Cross multiply
    503,723.50x = 695,138.43 × 277,368.46
  4. Step 4: Simplify right side
    503,723.50x = 192,809,475,815.92
  5. Step 5: Solve for x
    x = 192,809,475,815.92/503,723.50
  6. Step 6: Final answer
    x = 382,768.47

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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.