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Finding the Fourth Proportional to 471,553.36, 706,933.20 and 205,113.16

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Solution

The fourth proportional to 471,553.36, 706,933.20 and 205,113.16 is: 307,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,553.36 : 706,933.20 = 205,113.16 : x
  2. Step 2: Convert to fraction form
    471,553.36/706,933.20 = 205,113.16/x
  3. Step 3: Cross multiply
    471,553.36x = 706,933.20 × 205,113.16
  4. Step 4: Simplify right side
    471,553.36x = 145,001,302,560.91
  5. Step 5: Solve for x
    x = 145,001,302,560.91/471,553.36
  6. Step 6: Final answer
    x = 307,497.13

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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.