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Finding the Fourth Proportional to 363,884.47, 502,159.30 and 202,741.45

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Solution

The fourth proportional to 363,884.47, 502,159.30 and 202,741.45 is: 279,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,884.47 : 502,159.30 = 202,741.45 : x
  2. Step 2: Convert to fraction form
    363,884.47/502,159.30 = 202,741.45/x
  3. Step 3: Cross multiply
    363,884.47x = 502,159.30 × 202,741.45
  4. Step 4: Simplify right side
    363,884.47x = 101,808,504,612.99
  5. Step 5: Solve for x
    x = 101,808,504,612.99/363,884.47
  6. Step 6: Final answer
    x = 279,782.49

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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.