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Finding the Fourth Proportional to 521,999.01, 783,003.14 and 206,455.95

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Solution

The fourth proportional to 521,999.01, 783,003.14 and 206,455.95 is: 309,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,999.01 : 783,003.14 = 206,455.95 : x
  2. Step 2: Convert to fraction form
    521,999.01/783,003.14 = 206,455.95/x
  3. Step 3: Cross multiply
    521,999.01x = 783,003.14 × 206,455.95
  4. Step 4: Simplify right side
    521,999.01x = 161,655,656,089.40
  5. Step 5: Solve for x
    x = 161,655,656,089.40/521,999.01
  6. Step 6: Final answer
    x = 309,685.75

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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.