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Finding the Fourth Proportional to 413,901.10, 621,286.01 and 366,817.42

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Solution

The fourth proportional to 413,901.10, 621,286.01 and 366,817.42 is: 550,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,901.10 : 621,286.01 = 366,817.42 : x
  2. Step 2: Convert to fraction form
    413,901.10/621,286.01 = 366,817.42/x
  3. Step 3: Cross multiply
    413,901.10x = 621,286.01 × 366,817.42
  4. Step 4: Simplify right side
    413,901.10x = 227,898,531,270.29
  5. Step 5: Solve for x
    x = 227,898,531,270.29/413,901.10
  6. Step 6: Final answer
    x = 550,611.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.