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Finding the Fourth Proportional to 326,281.86, 450,462 and 205,526.65

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Solution

The fourth proportional to 326,281.86, 450,462 and 205,526.65 is: 283,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,281.86 : 450,462 = 205,526.65 : x
  2. Step 2: Convert to fraction form
    326,281.86/450,462 = 205,526.65/x
  3. Step 3: Cross multiply
    326,281.86x = 450,462 × 205,526.65
  4. Step 4: Simplify right side
    326,281.86x = 92,581,945,812.30
  5. Step 5: Solve for x
    x = 92,581,945,812.30/326,281.86
  6. Step 6: Final answer
    x = 283,748.37

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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.