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Finding the Fourth Proportional to 411,116.20, 616,674.30 and 201,164.20

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Solution

The fourth proportional to 411,116.20, 616,674.30 and 201,164.20 is: 301,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,116.20 : 616,674.30 = 201,164.20 : x
  2. Step 2: Convert to fraction form
    411,116.20/616,674.30 = 201,164.20/x
  3. Step 3: Cross multiply
    411,116.20x = 616,674.30 × 201,164.20
  4. Step 4: Simplify right side
    411,116.20x = 124,052,792,220.06
  5. Step 5: Solve for x
    x = 124,052,792,220.06/411,116.20
  6. Step 6: Final answer
    x = 301,746.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.