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Finding the Fourth Proportional to 411,447.08, 617,220 and 145,152.68

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Solution

The fourth proportional to 411,447.08, 617,220 and 145,152.68 is: 217,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,447.08 : 617,220 = 145,152.68 : x
  2. Step 2: Convert to fraction form
    411,447.08/617,220 = 145,152.68/x
  3. Step 3: Cross multiply
    411,447.08x = 617,220 × 145,152.68
  4. Step 4: Simplify right side
    411,447.08x = 89,591,137,149.60
  5. Step 5: Solve for x
    x = 89,591,137,149.60/411,447.08
  6. Step 6: Final answer
    x = 217,746.44

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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.