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Finding the Fourth Proportional to 411,266.85, 616,749.16 and 141,318.43

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Solution

The fourth proportional to 411,266.85, 616,749.16 and 141,318.43 is: 211,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,266.85 : 616,749.16 = 141,318.43 : x
  2. Step 2: Convert to fraction form
    411,266.85/616,749.16 = 141,318.43/x
  3. Step 3: Cross multiply
    411,266.85x = 616,749.16 × 141,318.43
  4. Step 4: Simplify right side
    411,266.85x = 87,158,023,395.22
  5. Step 5: Solve for x
    x = 87,158,023,395.22/411,266.85
  6. Step 6: Final answer
    x = 211,925.72

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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.