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Finding the Fourth Proportional to 531,693.92, 797,219.56 and 211,895

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Solution

The fourth proportional to 531,693.92, 797,219.56 and 211,895 is: 317,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,693.92 : 797,219.56 = 211,895 : x
  2. Step 2: Convert to fraction form
    531,693.92/797,219.56 = 211,895/x
  3. Step 3: Cross multiply
    531,693.92x = 797,219.56 × 211,895
  4. Step 4: Simplify right side
    531,693.92x = 168,926,838,666.20
  5. Step 5: Solve for x
    x = 168,926,838,666.20/531,693.92
  6. Step 6: Final answer
    x = 317,714.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.