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Finding the Fourth Proportional to 462,810, 693,949.32 and 182,174.16

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Solution

The fourth proportional to 462,810, 693,949.32 and 182,174.16 is: 273,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,810 : 693,949.32 = 182,174.16 : x
  2. Step 2: Convert to fraction form
    462,810/693,949.32 = 182,174.16/x
  3. Step 3: Cross multiply
    462,810x = 693,949.32 × 182,174.16
  4. Step 4: Simplify right side
    462,810x = 126,419,634,453.57
  5. Step 5: Solve for x
    x = 126,419,634,453.57/462,810
  6. Step 6: Final answer
    x = 273,156.66

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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.