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Finding the Fourth Proportional to 411,264.60, 616,022.10 and 341,280.60

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Solution

The fourth proportional to 411,264.60, 616,022.10 and 341,280.60 is: 511,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,264.60 : 616,022.10 = 341,280.60 : x
  2. Step 2: Convert to fraction form
    411,264.60/616,022.10 = 341,280.60/x
  3. Step 3: Cross multiply
    411,264.60x = 616,022.10 × 341,280.60
  4. Step 4: Simplify right side
    411,264.60x = 210,236,391,901.26
  5. Step 5: Solve for x
    x = 210,236,391,901.26/411,264.60
  6. Step 6: Final answer
    x = 511,194.96

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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.