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Finding the Fourth Proportional to 361,993.81, 499,624.15 and 209,056.90

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Solution

The fourth proportional to 361,993.81, 499,624.15 and 209,056.90 is: 288,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,993.81 : 499,624.15 = 209,056.90 : x
  2. Step 2: Convert to fraction form
    361,993.81/499,624.15 = 209,056.90/x
  3. Step 3: Cross multiply
    361,993.81x = 499,624.15 × 209,056.90
  4. Step 4: Simplify right side
    361,993.81x = 104,449,875,521.21
  5. Step 5: Solve for x
    x = 104,449,875,521.21/361,993.81
  6. Step 6: Final answer
    x = 288,540.50

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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.