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Finding the Fourth Proportional to 361,704, 499,157.52 and 200,565.84

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Solution

The fourth proportional to 361,704, 499,157.52 and 200,565.84 is: 276,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,704 : 499,157.52 = 200,565.84 : x
  2. Step 2: Convert to fraction form
    361,704/499,157.52 = 200,565.84/x
  3. Step 3: Cross multiply
    361,704x = 499,157.52 × 200,565.84
  4. Step 4: Simplify right side
    361,704x = 100,113,947,291.12
  5. Step 5: Solve for x
    x = 100,113,947,291.12/361,704
  6. Step 6: Final answer
    x = 276,784.19

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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.