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Finding the Fourth Proportional to 361,291.77, 498,582.54 and 200,157.26

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Solution

The fourth proportional to 361,291.77, 498,582.54 and 200,157.26 is: 276,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,291.77 : 498,582.54 = 200,157.26 : x
  2. Step 2: Convert to fraction form
    361,291.77/498,582.54 = 200,157.26/x
  3. Step 3: Cross multiply
    361,291.77x = 498,582.54 × 200,157.26
  4. Step 4: Simplify right side
    361,291.77x = 99,794,912,597.33
  5. Step 5: Solve for x
    x = 99,794,912,597.33/361,291.77
  6. Step 6: Final answer
    x = 276,216.96

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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.