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Finding the Fourth Proportional to 424,854.56, 586,299.18 and 233,867

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Solution

The fourth proportional to 424,854.56, 586,299.18 and 233,867 is: 322,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,854.56 : 586,299.18 = 233,867 : x
  2. Step 2: Convert to fraction form
    424,854.56/586,299.18 = 233,867/x
  3. Step 3: Cross multiply
    424,854.56x = 586,299.18 × 233,867
  4. Step 4: Simplify right side
    424,854.56x = 137,116,030,329.06
  5. Step 5: Solve for x
    x = 137,116,030,329.06/424,854.56
  6. Step 6: Final answer
    x = 322,736.40

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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.