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Finding the Fourth Proportional to 411,663.60, 617,495.40 and 162,313.20

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Solution

The fourth proportional to 411,663.60, 617,495.40 and 162,313.20 is: 243,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,663.60 : 617,495.40 = 162,313.20 : x
  2. Step 2: Convert to fraction form
    411,663.60/617,495.40 = 162,313.20/x
  3. Step 3: Cross multiply
    411,663.60x = 617,495.40 × 162,313.20
  4. Step 4: Simplify right side
    411,663.60x = 100,227,654,359.28
  5. Step 5: Solve for x
    x = 100,227,654,359.28/411,663.60
  6. Step 6: Final answer
    x = 243,469.80

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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.