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Finding the Fourth Proportional to 367,713.87, 507,452 and 204,385.67

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Solution

The fourth proportional to 367,713.87, 507,452 and 204,385.67 is: 282,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,713.87 : 507,452 = 204,385.67 : x
  2. Step 2: Convert to fraction form
    367,713.87/507,452 = 204,385.67/x
  3. Step 3: Cross multiply
    367,713.87x = 507,452 × 204,385.67
  4. Step 4: Simplify right side
    367,713.87x = 103,715,917,012.84
  5. Step 5: Solve for x
    x = 103,715,917,012.84/367,713.87
  6. Step 6: Final answer
    x = 282,056.04

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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.