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Finding the Fourth Proportional to 307,262.50, 424,022.25 and 165,950.50

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Solution

The fourth proportional to 307,262.50, 424,022.25 and 165,950.50 is: 229,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,262.50 : 424,022.25 = 165,950.50 : x
  2. Step 2: Convert to fraction form
    307,262.50/424,022.25 = 165,950.50/x
  3. Step 3: Cross multiply
    307,262.50x = 424,022.25 × 165,950.50
  4. Step 4: Simplify right side
    307,262.50x = 70,366,704,398.63
  5. Step 5: Solve for x
    x = 70,366,704,398.63/307,262.50
  6. Step 6: Final answer
    x = 229,011.69

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1.5x scale

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.