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Finding the Fourth Proportional to 374,064.98, 516,208.85 and 204,299.10

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Solution

The fourth proportional to 374,064.98, 516,208.85 and 204,299.10 is: 281,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,064.98 : 516,208.85 = 204,299.10 : x
  2. Step 2: Convert to fraction form
    374,064.98/516,208.85 = 204,299.10/x
  3. Step 3: Cross multiply
    374,064.98x = 516,208.85 × 204,299.10
  4. Step 4: Simplify right side
    374,064.98x = 105,461,002,445.54
  5. Step 5: Solve for x
    x = 105,461,002,445.54/374,064.98
  6. Step 6: Final answer
    x = 281,932.31

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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.