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Finding the Fourth Proportional to 367,674, 507,433.80 and 206,529.36

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Solution

The fourth proportional to 367,674, 507,433.80 and 206,529.36 is: 285,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,674 : 507,433.80 = 206,529.36 : x
  2. Step 2: Convert to fraction form
    367,674/507,433.80 = 206,529.36/x
  3. Step 3: Cross multiply
    367,674x = 507,433.80 × 206,529.36
  4. Step 4: Simplify right side
    367,674x = 104,799,977,956.37
  5. Step 5: Solve for x
    x = 104,799,977,956.37/367,674
  6. Step 6: Final answer
    x = 285,035.05

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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.