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Finding the Fourth Proportional to 364,543.58, 502,867.96 and 213,611.42

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Solution

The fourth proportional to 364,543.58, 502,867.96 and 213,611.42 is: 294,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,543.58 : 502,867.96 = 213,611.42 : x
  2. Step 2: Convert to fraction form
    364,543.58/502,867.96 = 213,611.42/x
  3. Step 3: Cross multiply
    364,543.58x = 502,867.96 × 213,611.42
  4. Step 4: Simplify right side
    364,543.58x = 107,418,335,959.74
  5. Step 5: Solve for x
    x = 107,418,335,959.74/364,543.58
  6. Step 6: Final answer
    x = 294,665.28

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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.