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Finding the Fourth Proportional to 366,674.81, 506,034.62 and 205,529.90

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Solution

The fourth proportional to 366,674.81, 506,034.62 and 205,529.90 is: 283,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,674.81 : 506,034.62 = 205,529.90 : x
  2. Step 2: Convert to fraction form
    366,674.81/506,034.62 = 205,529.90/x
  3. Step 3: Cross multiply
    366,674.81x = 506,034.62 × 205,529.90
  4. Step 4: Simplify right side
    366,674.81x = 104,005,245,358.96
  5. Step 5: Solve for x
    x = 104,005,245,358.96/366,674.81
  6. Step 6: Final answer
    x = 283,644.37

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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.