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Finding the Fourth Proportional to 367,497.59, 507,129.42 and 204,164.63

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Solution

The fourth proportional to 367,497.59, 507,129.42 and 204,164.63 is: 281,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,497.59 : 507,129.42 = 204,164.63 : x
  2. Step 2: Convert to fraction form
    367,497.59/507,129.42 = 204,164.63/x
  3. Step 3: Cross multiply
    367,497.59x = 507,129.42 × 204,164.63
  4. Step 4: Simplify right side
    367,497.59x = 103,537,893,380.72
  5. Step 5: Solve for x
    x = 103,537,893,380.72/367,497.59
  6. Step 6: Final answer
    x = 281,737.61

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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.