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Finding the Fourth Proportional to 221,462.10, 309,347.10 and 221,462.10

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Solution

The fourth proportional to 221,462.10, 309,347.10 and 221,462.10 is: 309,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,462.10 : 309,347.10 = 221,462.10 : x
  2. Step 2: Convert to fraction form
    221,462.10/309,347.10 = 221,462.10/x
  3. Step 3: Cross multiply
    221,462.10x = 309,347.10 × 221,462.10
  4. Step 4: Simplify right side
    221,462.10x = 68,508,658,394.91
  5. Step 5: Solve for x
    x = 68,508,658,394.91/221,462.10
  6. Step 6: Final answer
    x = 309,347.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.