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Finding the Fourth Proportional to 411,513.24, 617,271.42 and 145,129.08

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Solution

The fourth proportional to 411,513.24, 617,271.42 and 145,129.08 is: 217,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,513.24 : 617,271.42 = 145,129.08 : x
  2. Step 2: Convert to fraction form
    411,513.24/617,271.42 = 145,129.08/x
  3. Step 3: Cross multiply
    411,513.24x = 617,271.42 × 145,129.08
  4. Step 4: Simplify right side
    411,513.24x = 89,584,033,294.89
  5. Step 5: Solve for x
    x = 89,584,033,294.89/411,513.24
  6. Step 6: Final answer
    x = 217,694.17

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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.