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Finding the Fourth Proportional to 427,288.67, 589,634.40 and 233,657.97

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Solution

The fourth proportional to 427,288.67, 589,634.40 and 233,657.97 is: 322,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,288.67 : 589,634.40 = 233,657.97 : x
  2. Step 2: Convert to fraction form
    427,288.67/589,634.40 = 233,657.97/x
  3. Step 3: Cross multiply
    427,288.67x = 589,634.40 × 233,657.97
  4. Step 4: Simplify right side
    427,288.67x = 137,772,776,946.17
  5. Step 5: Solve for x
    x = 137,772,776,946.17/427,288.67
  6. Step 6: Final answer
    x = 322,434.89

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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.