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Finding the Fourth Proportional to 233,448, 322,216.56 and 132,904.32

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Solution

The fourth proportional to 233,448, 322,216.56 and 132,904.32 is: 183,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,448 : 322,216.56 = 132,904.32 : x
  2. Step 2: Convert to fraction form
    233,448/322,216.56 = 132,904.32/x
  3. Step 3: Cross multiply
    233,448x = 322,216.56 × 132,904.32
  4. Step 4: Simplify right side
    233,448x = 42,823,972,799.54
  5. Step 5: Solve for x
    x = 42,823,972,799.54/233,448
  6. Step 6: Final answer
    x = 183,441.16

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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.