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Finding the Fourth Proportional to 411,794.40, 617,691.60 and 145,563.60

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Solution

The fourth proportional to 411,794.40, 617,691.60 and 145,563.60 is: 218,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,794.40 : 617,691.60 = 145,563.60 : x
  2. Step 2: Convert to fraction form
    411,794.40/617,691.60 = 145,563.60/x
  3. Step 3: Cross multiply
    411,794.40x = 617,691.60 × 145,563.60
  4. Step 4: Simplify right side
    411,794.40x = 89,913,412,985.76
  5. Step 5: Solve for x
    x = 89,913,412,985.76/411,794.40
  6. Step 6: Final answer
    x = 218,345.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.