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Finding the Fourth Proportional to 411,267.35, 616,749.92 and 141,318.93

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Solution

The fourth proportional to 411,267.35, 616,749.92 and 141,318.93 is: 211,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,267.35 : 616,749.92 = 141,318.93 : x
  2. Step 2: Convert to fraction form
    411,267.35/616,749.92 = 141,318.93/x
  3. Step 3: Cross multiply
    411,267.35x = 616,749.92 × 141,318.93
  4. Step 4: Simplify right side
    411,267.35x = 87,158,438,065.39
  5. Step 5: Solve for x
    x = 87,158,438,065.39/411,267.35
  6. Step 6: Final answer
    x = 211,926.47

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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.