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Finding the Fourth Proportional to 233,974.30, 322,884.50 and 126,544.32

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Solution

The fourth proportional to 233,974.30, 322,884.50 and 126,544.32 is: 174,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,974.30 : 322,884.50 = 126,544.32 : x
  2. Step 2: Convert to fraction form
    233,974.30/322,884.50 = 126,544.32/x
  3. Step 3: Cross multiply
    233,974.30x = 322,884.50 × 126,544.32
  4. Step 4: Simplify right side
    233,974.30x = 40,859,199,491.04
  5. Step 5: Solve for x
    x = 40,859,199,491.04/233,974.30
  6. Step 6: Final answer
    x = 174,631.14

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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.