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Finding the Fourth Proportional to 361,684.48, 499,176.24 and 200,575.36

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Solution

The fourth proportional to 361,684.48, 499,176.24 and 200,575.36 is: 276,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,684.48 : 499,176.24 = 200,575.36 : x
  2. Step 2: Convert to fraction form
    361,684.48/499,176.24 = 200,575.36/x
  3. Step 3: Cross multiply
    361,684.48x = 499,176.24 × 200,575.36
  4. Step 4: Simplify right side
    361,684.48x = 100,122,454,041.45
  5. Step 5: Solve for x
    x = 100,122,454,041.45/361,684.48
  6. Step 6: Final answer
    x = 276,822.64

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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.