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Finding the Fourth Proportional to 366,814.16, 550,731 and 189,452.24

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Solution

The fourth proportional to 366,814.16, 550,731 and 189,452.24 is: 284,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,814.16 : 550,731 = 189,452.24 : x
  2. Step 2: Convert to fraction form
    366,814.16/550,731 = 189,452.24/x
  3. Step 3: Cross multiply
    366,814.16x = 550,731 × 189,452.24
  4. Step 4: Simplify right side
    366,814.16x = 104,337,221,587.44
  5. Step 5: Solve for x
    x = 104,337,221,587.44/366,814.16
  6. Step 6: Final answer
    x = 284,441.64

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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.