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Finding the Fourth Proportional to 434,228.20, 651,342.30 and 411,418.60

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Solution

The fourth proportional to 434,228.20, 651,342.30 and 411,418.60 is: 617,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,228.20 : 651,342.30 = 411,418.60 : x
  2. Step 2: Convert to fraction form
    434,228.20/651,342.30 = 411,418.60/x
  3. Step 3: Cross multiply
    434,228.20x = 651,342.30 × 411,418.60
  4. Step 4: Simplify right side
    434,228.20x = 267,974,337,186.78
  5. Step 5: Solve for x
    x = 267,974,337,186.78/434,228.20
  6. Step 6: Final answer
    x = 617,127.90

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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.