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Finding the Fourth Proportional to 363,751.82, 501,977.60 and 210,878.61

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Solution

The fourth proportional to 363,751.82, 501,977.60 and 210,878.61 is: 291,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,751.82 : 501,977.60 = 210,878.61 : x
  2. Step 2: Convert to fraction form
    363,751.82/501,977.60 = 210,878.61/x
  3. Step 3: Cross multiply
    363,751.82x = 501,977.60 × 210,878.61
  4. Step 4: Simplify right side
    363,751.82x = 105,856,337,484.74
  5. Step 5: Solve for x
    x = 105,856,337,484.74/363,751.82
  6. Step 6: Final answer
    x = 291,012.53

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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.