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Finding the Fourth Proportional to 364,009.55, 502,347.69 and 202,863.15

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Solution

The fourth proportional to 364,009.55, 502,347.69 and 202,863.15 is: 279,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,009.55 : 502,347.69 = 202,863.15 : x
  2. Step 2: Convert to fraction form
    364,009.55/502,347.69 = 202,863.15/x
  3. Step 3: Cross multiply
    364,009.55x = 502,347.69 × 202,863.15
  4. Step 4: Simplify right side
    364,009.55x = 101,907,834,788.62
  5. Step 5: Solve for x
    x = 101,907,834,788.62/364,009.55
  6. Step 6: Final answer
    x = 279,959.24

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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.