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Finding the Fourth Proportional to 363,795.21, 501,970.77 and 202,646.25

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Solution

The fourth proportional to 363,795.21, 501,970.77 and 202,646.25 is: 279,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,795.21 : 501,970.77 = 202,646.25 : x
  2. Step 2: Convert to fraction form
    363,795.21/501,970.77 = 202,646.25/x
  3. Step 3: Cross multiply
    363,795.21x = 501,970.77 × 202,646.25
  4. Step 4: Simplify right side
    363,795.21x = 101,722,494,150.11
  5. Step 5: Solve for x
    x = 101,722,494,150.11/363,795.21
  6. Step 6: Final answer
    x = 279,614.72

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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.