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Finding the Fourth Proportional to 471,332.33, 706,988.91 and 116,349.42

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Solution

The fourth proportional to 471,332.33, 706,988.91 and 116,349.42 is: 174,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,332.33 : 706,988.91 = 116,349.42 : x
  2. Step 2: Convert to fraction form
    471,332.33/706,988.91 = 116,349.42/x
  3. Step 3: Cross multiply
    471,332.33x = 706,988.91 × 116,349.42
  4. Step 4: Simplify right side
    471,332.33x = 82,257,749,624.93
  5. Step 5: Solve for x
    x = 82,257,749,624.93/471,332.33
  6. Step 6: Final answer
    x = 174,521.77

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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.