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Finding the Fourth Proportional to 374,057.86, 516,199.16 and 204,291.94

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Solution

The fourth proportional to 374,057.86, 516,199.16 and 204,291.94 is: 281,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,057.86 : 516,199.16 = 204,291.94 : x
  2. Step 2: Convert to fraction form
    374,057.86/516,199.16 = 204,291.94/x
  3. Step 3: Cross multiply
    374,057.86x = 516,199.16 × 204,291.94
  4. Step 4: Simplify right side
    374,057.86x = 105,455,327,822.77
  5. Step 5: Solve for x
    x = 105,455,327,822.77/374,057.86
  6. Step 6: Final answer
    x = 281,922.50

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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.