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Finding the Fourth Proportional to 364,442.66, 502,819.22 and 211,427.72

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Solution

The fourth proportional to 364,442.66, 502,819.22 and 211,427.72 is: 291,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,442.66 : 502,819.22 = 211,427.72 : x
  2. Step 2: Convert to fraction form
    364,442.66/502,819.22 = 211,427.72/x
  3. Step 3: Cross multiply
    364,442.66x = 502,819.22 × 211,427.72
  4. Step 4: Simplify right side
    364,442.66x = 106,309,921,256.78
  5. Step 5: Solve for x
    x = 106,309,921,256.78/364,442.66
  6. Step 6: Final answer
    x = 291,705.48

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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.