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Finding the Fourth Proportional to 367,950.88, 507,773.64 and 206,812.72

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Solution

The fourth proportional to 367,950.88, 507,773.64 and 206,812.72 is: 285,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,950.88 : 507,773.64 = 206,812.72 : x
  2. Step 2: Convert to fraction form
    367,950.88/507,773.64 = 206,812.72/x
  3. Step 3: Cross multiply
    367,950.88x = 507,773.64 × 206,812.72
  4. Step 4: Simplify right side
    367,950.88x = 105,014,047,632.70
  5. Step 5: Solve for x
    x = 105,014,047,632.70/367,950.88
  6. Step 6: Final answer
    x = 285,402.35

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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.