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Finding the Fourth Proportional to 235,725.30, 324,479.34 and 205,458.06

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Solution

The fourth proportional to 235,725.30, 324,479.34 and 205,458.06 is: 282,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,725.30 : 324,479.34 = 205,458.06 : x
  2. Step 2: Convert to fraction form
    235,725.30/324,479.34 = 205,458.06/x
  3. Step 3: Cross multiply
    235,725.30x = 324,479.34 × 205,458.06
  4. Step 4: Simplify right side
    235,725.30x = 66,666,895,706.48
  5. Step 5: Solve for x
    x = 66,666,895,706.48/235,725.30
  6. Step 6: Final answer
    x = 282,816.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.