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Finding the Fourth Proportional to 411,267.10, 616,749.54 and 141,318.68

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Solution

The fourth proportional to 411,267.10, 616,749.54 and 141,318.68 is: 211,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,267.10 : 616,749.54 = 141,318.68 : x
  2. Step 2: Convert to fraction form
    411,267.10/616,749.54 = 141,318.68/x
  3. Step 3: Cross multiply
    411,267.10x = 616,749.54 × 141,318.68
  4. Step 4: Simplify right side
    411,267.10x = 87,158,230,530.11
  5. Step 5: Solve for x
    x = 87,158,230,530.11/411,267.10
  6. Step 6: Final answer
    x = 211,926.10

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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.