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Finding the Fourth Proportional to 503,874, 695,346.12 and 277,519.50

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Solution

The fourth proportional to 503,874, 695,346.12 and 277,519.50 is: 382,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,874 : 695,346.12 = 277,519.50 : x
  2. Step 2: Convert to fraction form
    503,874/695,346.12 = 277,519.50/x
  3. Step 3: Cross multiply
    503,874x = 695,346.12 × 277,519.50
  4. Step 4: Simplify right side
    503,874x = 192,972,107,549.34
  5. Step 5: Solve for x
    x = 192,972,107,549.34/503,874
  6. Step 6: Final answer
    x = 382,976.91

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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.