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Finding the Fourth Proportional to 367,656.17, 507,365.78 and 206,511.30

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Solution

The fourth proportional to 367,656.17, 507,365.78 and 206,511.30 is: 284,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,656.17 : 507,365.78 = 206,511.30 : x
  2. Step 2: Convert to fraction form
    367,656.17/507,365.78 = 206,511.30/x
  3. Step 3: Cross multiply
    367,656.17x = 507,365.78 × 206,511.30
  4. Step 4: Simplify right side
    367,656.17x = 104,776,765,770.76
  5. Step 5: Solve for x
    x = 104,776,765,770.76/367,656.17
  6. Step 6: Final answer
    x = 284,985.74

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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.