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Finding the Fourth Proportional to 424,849.56, 586,292.28 and 233,862

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Solution

The fourth proportional to 424,849.56, 586,292.28 and 233,862 is: 322,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,849.56 : 586,292.28 = 233,862 : x
  2. Step 2: Convert to fraction form
    424,849.56/586,292.28 = 233,862/x
  3. Step 3: Cross multiply
    424,849.56x = 586,292.28 × 233,862
  4. Step 4: Simplify right side
    424,849.56x = 137,111,485,185.36
  5. Step 5: Solve for x
    x = 137,111,485,185.36/424,849.56
  6. Step 6: Final answer
    x = 322,729.50

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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.