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Finding the Fourth Proportional to 497,002.60, 685,871.40 and 270,647.92

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Solution

The fourth proportional to 497,002.60, 685,871.40 and 270,647.92 is: 373,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,002.60 : 685,871.40 = 270,647.92 : x
  2. Step 2: Convert to fraction form
    497,002.60/685,871.40 = 270,647.92/x
  3. Step 3: Cross multiply
    497,002.60x = 685,871.40 × 270,647.92
  4. Step 4: Simplify right side
    497,002.60x = 185,629,667,797.49
  5. Step 5: Solve for x
    x = 185,629,667,797.49/497,002.60
  6. Step 6: Final answer
    x = 373,498.38

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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.