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Finding the Fourth Proportional to 411,488.57, 617,104.74 and 145,186.69

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Solution

The fourth proportional to 411,488.57, 617,104.74 and 145,186.69 is: 217,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,488.57 : 617,104.74 = 145,186.69 : x
  2. Step 2: Convert to fraction form
    411,488.57/617,104.74 = 145,186.69/x
  3. Step 3: Cross multiply
    411,488.57x = 617,104.74 × 145,186.69
  4. Step 4: Simplify right side
    411,488.57x = 89,595,393,041.15
  5. Step 5: Solve for x
    x = 89,595,393,041.15/411,488.57
  6. Step 6: Final answer
    x = 217,734.83

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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.