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Finding the Fourth Proportional to 361,434.34, 498,782.37 and 200,292.13

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Solution

The fourth proportional to 361,434.34, 498,782.37 and 200,292.13 is: 276,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,434.34 : 498,782.37 = 200,292.13 : x
  2. Step 2: Convert to fraction form
    361,434.34/498,782.37 = 200,292.13/x
  3. Step 3: Cross multiply
    361,434.34x = 498,782.37 × 200,292.13
  4. Step 4: Simplify right side
    361,434.34x = 99,902,183,293.75
  5. Step 5: Solve for x
    x = 99,902,183,293.75/361,434.34
  6. Step 6: Final answer
    x = 276,404.79

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1.5x scale

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.