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Finding the Fourth Proportional to 337,484.45, 465,776.10 and 206,740.13

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Solution

The fourth proportional to 337,484.45, 465,776.10 and 206,740.13 is: 285,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,484.45 : 465,776.10 = 206,740.13 : x
  2. Step 2: Convert to fraction form
    337,484.45/465,776.10 = 206,740.13/x
  3. Step 3: Cross multiply
    337,484.45x = 465,776.10 × 206,740.13
  4. Step 4: Simplify right side
    337,484.45x = 96,294,609,136.01
  5. Step 5: Solve for x
    x = 96,294,609,136.01/337,484.45
  6. Step 6: Final answer
    x = 285,330.50

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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.