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Finding the Fourth Proportional to 305,888.96, 422,176.92 and 176,831.66

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Solution

The fourth proportional to 305,888.96, 422,176.92 and 176,831.66 is: 244,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,888.96 : 422,176.92 = 176,831.66 : x
  2. Step 2: Convert to fraction form
    305,888.96/422,176.92 = 176,831.66/x
  3. Step 3: Cross multiply
    305,888.96x = 422,176.92 × 176,831.66
  4. Step 4: Simplify right side
    305,888.96x = 74,654,245,577.29
  5. Step 5: Solve for x
    x = 74,654,245,577.29/305,888.96
  6. Step 6: Final answer
    x = 244,056.69

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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.