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Finding the Fourth Proportional to 468,382.14, 646,379.91 and 284,558.13

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Solution

The fourth proportional to 468,382.14, 646,379.91 and 284,558.13 is: 392,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,382.14 : 646,379.91 = 284,558.13 : x
  2. Step 2: Convert to fraction form
    468,382.14/646,379.91 = 284,558.13/x
  3. Step 3: Cross multiply
    468,382.14x = 646,379.91 × 284,558.13
  4. Step 4: Simplify right side
    468,382.14x = 183,932,658,459.17
  5. Step 5: Solve for x
    x = 183,932,658,459.17/468,382.14
  6. Step 6: Final answer
    x = 392,697.85

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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.