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Finding the Fourth Proportional to 702,046.92, 968,517 and 411,511.20

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Solution

The fourth proportional to 702,046.92, 968,517 and 411,511.20 is: 567,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,046.92 : 968,517 = 411,511.20 : x
  2. Step 2: Convert to fraction form
    702,046.92/968,517 = 411,511.20/x
  3. Step 3: Cross multiply
    702,046.92x = 968,517 × 411,511.20
  4. Step 4: Simplify right side
    702,046.92x = 398,555,592,890.40
  5. Step 5: Solve for x
    x = 398,555,592,890.40/702,046.92
  6. Step 6: Final answer
    x = 567,705.07

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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.