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Finding the Fourth Proportional to 374,080.50, 516,233.84 and 204,314.63

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Solution

The fourth proportional to 374,080.50, 516,233.84 and 204,314.63 is: 281,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,080.50 : 516,233.84 = 204,314.63 : x
  2. Step 2: Convert to fraction form
    374,080.50/516,233.84 = 204,314.63/x
  3. Step 3: Cross multiply
    374,080.50x = 516,233.84 × 204,314.63
  4. Step 4: Simplify right side
    374,080.50x = 105,474,122,410.34
  5. Step 5: Solve for x
    x = 105,474,122,410.34/374,080.50
  6. Step 6: Final answer
    x = 281,955.68

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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.