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Finding the Fourth Proportional to 411,224.16, 616,901.56 and 145,066.08

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Solution

The fourth proportional to 411,224.16, 616,901.56 and 145,066.08 is: 217,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,224.16 : 616,901.56 = 145,066.08 : x
  2. Step 2: Convert to fraction form
    411,224.16/616,901.56 = 145,066.08/x
  3. Step 3: Cross multiply
    411,224.16x = 616,901.56 × 145,066.08
  4. Step 4: Simplify right side
    411,224.16x = 89,491,491,055.08
  5. Step 5: Solve for x
    x = 89,491,491,055.08/411,224.16
  6. Step 6: Final answer
    x = 217,622.16

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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.