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Finding the Fourth Proportional to 367,712.87, 507,450.62 and 204,384.67

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Solution

The fourth proportional to 367,712.87, 507,450.62 and 204,384.67 is: 282,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,712.87 : 507,450.62 = 204,384.67 : x
  2. Step 2: Convert to fraction form
    367,712.87/507,450.62 = 204,384.67/x
  3. Step 3: Cross multiply
    367,712.87x = 507,450.62 × 204,384.67
  4. Step 4: Simplify right side
    367,712.87x = 103,715,126,752.33
  5. Step 5: Solve for x
    x = 103,715,126,752.33/367,712.87
  6. Step 6: Final answer
    x = 282,054.66

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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.