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Finding the Fourth Proportional to 306,177.60, 422,532.14 and 170,206.32

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Solution

The fourth proportional to 306,177.60, 422,532.14 and 170,206.32 is: 234,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,177.60 : 422,532.14 = 170,206.32 : x
  2. Step 2: Convert to fraction form
    306,177.60/422,532.14 = 170,206.32/x
  3. Step 3: Cross multiply
    306,177.60x = 422,532.14 × 170,206.32
  4. Step 4: Simplify right side
    306,177.60x = 71,917,639,780.09
  5. Step 5: Solve for x
    x = 71,917,639,780.09/306,177.60
  6. Step 6: Final answer
    x = 234,888.64

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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.