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Finding the Fourth Proportional to 374,152.88, 516,311.70 and 204,354.20

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Solution

The fourth proportional to 374,152.88, 516,311.70 and 204,354.20 is: 281,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,152.88 : 516,311.70 = 204,354.20 : x
  2. Step 2: Convert to fraction form
    374,152.88/516,311.70 = 204,354.20/x
  3. Step 3: Cross multiply
    374,152.88x = 516,311.70 × 204,354.20
  4. Step 4: Simplify right side
    374,152.88x = 105,510,464,404.14
  5. Step 5: Solve for x
    x = 105,510,464,404.14/374,152.88
  6. Step 6: Final answer
    x = 281,998.27

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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.