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Finding the Fourth Proportional to 465,382.24, 642,210.64 and 284,397.12

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Solution

The fourth proportional to 465,382.24, 642,210.64 and 284,397.12 is: 392,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,382.24 : 642,210.64 = 284,397.12 : x
  2. Step 2: Convert to fraction form
    465,382.24/642,210.64 = 284,397.12/x
  3. Step 3: Cross multiply
    465,382.24x = 642,210.64 × 284,397.12
  4. Step 4: Simplify right side
    465,382.24x = 182,642,856,449.36
  5. Step 5: Solve for x
    x = 182,642,856,449.36/465,382.24
  6. Step 6: Final answer
    x = 392,457.73

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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.