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Finding the Fourth Proportional to 413,902.10, 621,287.50 and 366,818.42

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Solution

The fourth proportional to 413,902.10, 621,287.50 and 366,818.42 is: 550,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,902.10 : 621,287.50 = 366,818.42 : x
  2. Step 2: Convert to fraction form
    413,902.10/621,287.50 = 366,818.42/x
  3. Step 3: Cross multiply
    413,902.10x = 621,287.50 × 366,818.42
  4. Step 4: Simplify right side
    413,902.10x = 227,899,699,115.75
  5. Step 5: Solve for x
    x = 227,899,699,115.75/413,902.10
  6. Step 6: Final answer
    x = 550,612.57

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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.