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Finding the Fourth Proportional to 374,143.90, 516,299.28 and 204,345.22

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Solution

The fourth proportional to 374,143.90, 516,299.28 and 204,345.22 is: 281,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,143.90 : 516,299.28 = 204,345.22 : x
  2. Step 2: Convert to fraction form
    374,143.90/516,299.28 = 204,345.22/x
  3. Step 3: Cross multiply
    374,143.90x = 516,299.28 × 204,345.22
  4. Step 4: Simplify right side
    374,143.90x = 105,503,289,957.44
  5. Step 5: Solve for x
    x = 105,503,289,957.44/374,143.90
  6. Step 6: Final answer
    x = 281,985.86

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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.