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Finding the Fourth Proportional to 306,225.09, 422,595.52 and 168,409.46

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Solution

The fourth proportional to 306,225.09, 422,595.52 and 168,409.46 is: 232,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,225.09 : 422,595.52 = 168,409.46 : x
  2. Step 2: Convert to fraction form
    306,225.09/422,595.52 = 168,409.46/x
  3. Step 3: Cross multiply
    306,225.09x = 422,595.52 × 168,409.46
  4. Step 4: Simplify right side
    306,225.09x = 71,169,083,957.08
  5. Step 5: Solve for x
    x = 71,169,083,957.08/306,225.09
  6. Step 6: Final answer
    x = 232,407.75

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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.