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Finding the Fourth Proportional to 367,507.40, 507,124.92 and 206,325.50

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Solution

The fourth proportional to 367,507.40, 507,124.92 and 206,325.50 is: 284,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,507.40 : 507,124.92 = 206,325.50 : x
  2. Step 2: Convert to fraction form
    367,507.40/507,124.92 = 206,325.50/x
  3. Step 3: Cross multiply
    367,507.40x = 507,124.92 × 206,325.50
  4. Step 4: Simplify right side
    367,507.40x = 104,632,801,649.83
  5. Step 5: Solve for x
    x = 104,632,801,649.83/367,507.40
  6. Step 6: Final answer
    x = 284,709.37

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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.