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Finding the Fourth Proportional to 411,166.08, 616,593.60 and 161,712

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Solution

The fourth proportional to 411,166.08, 616,593.60 and 161,712 is: 242,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,166.08 : 616,593.60 = 161,712 : x
  2. Step 2: Convert to fraction form
    411,166.08/616,593.60 = 161,712/x
  3. Step 3: Cross multiply
    411,166.08x = 616,593.60 × 161,712
  4. Step 4: Simplify right side
    411,166.08x = 99,710,584,243.20
  5. Step 5: Solve for x
    x = 99,710,584,243.20/411,166.08
  6. Step 6: Final answer
    x = 242,506.83

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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.