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Finding the Fourth Proportional to 361,703.41, 499,097.30 and 200,559.63

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Solution

The fourth proportional to 361,703.41, 499,097.30 and 200,559.63 is: 276,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,703.41 : 499,097.30 = 200,559.63 : x
  2. Step 2: Convert to fraction form
    361,703.41/499,097.30 = 200,559.63/x
  3. Step 3: Cross multiply
    361,703.41x = 499,097.30 × 200,559.63
  4. Step 4: Simplify right side
    361,703.41x = 100,098,767,883.39
  5. Step 5: Solve for x
    x = 100,098,767,883.39/361,703.41
  6. Step 6: Final answer
    x = 276,742.67

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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.