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Finding the Fourth Proportional to 445,645.80, 668,468.70 and 411,431.40

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Solution

The fourth proportional to 445,645.80, 668,468.70 and 411,431.40 is: 617,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,645.80 : 668,468.70 = 411,431.40 : x
  2. Step 2: Convert to fraction form
    445,645.80/668,468.70 = 411,431.40/x
  3. Step 3: Cross multiply
    445,645.80x = 668,468.70 × 411,431.40
  4. Step 4: Simplify right side
    445,645.80x = 275,029,013,097.18
  5. Step 5: Solve for x
    x = 275,029,013,097.18/445,645.80
  6. Step 6: Final answer
    x = 617,147.10

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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.