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Finding the Fourth Proportional to 503,577.09, 694,894.01 and 288,667.89

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Solution

The fourth proportional to 503,577.09, 694,894.01 and 288,667.89 is: 398,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,577.09 : 694,894.01 = 288,667.89 : x
  2. Step 2: Convert to fraction form
    503,577.09/694,894.01 = 288,667.89/x
  3. Step 3: Cross multiply
    503,577.09x = 694,894.01 × 288,667.89
  4. Step 4: Simplify right side
    503,577.09x = 200,593,586,197.00
  5. Step 5: Solve for x
    x = 200,593,586,197.00/503,577.09
  6. Step 6: Final answer
    x = 398,337.39

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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.