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Finding the Fourth Proportional to 411,998.46, 568,557.80 and 228,248.97

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Solution

The fourth proportional to 411,998.46, 568,557.80 and 228,248.97 is: 314,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,998.46 : 568,557.80 = 228,248.97 : x
  2. Step 2: Convert to fraction form
    411,998.46/568,557.80 = 228,248.97/x
  3. Step 3: Cross multiply
    411,998.46x = 568,557.80 × 228,248.97
  4. Step 4: Simplify right side
    411,998.46x = 129,772,731,094.22
  5. Step 5: Solve for x
    x = 129,772,731,094.22/411,998.46
  6. Step 6: Final answer
    x = 314,983.53

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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.