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Finding the Fourth Proportional to 460,801.22, 691,098.12 and 165,313.22

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Solution

The fourth proportional to 460,801.22, 691,098.12 and 165,313.22 is: 247,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,801.22 : 691,098.12 = 165,313.22 : x
  2. Step 2: Convert to fraction form
    460,801.22/691,098.12 = 165,313.22/x
  3. Step 3: Cross multiply
    460,801.22x = 691,098.12 × 165,313.22
  4. Step 4: Simplify right side
    460,801.22x = 114,247,652,097.66
  5. Step 5: Solve for x
    x = 114,247,652,097.66/460,801.22
  6. Step 6: Final answer
    x = 247,932.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.