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Finding the Fourth Proportional to 324,208.21, 486,301.94 and 146,715.22

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Solution

The fourth proportional to 324,208.21, 486,301.94 and 146,715.22 is: 220,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,208.21 : 486,301.94 = 146,715.22 : x
  2. Step 2: Convert to fraction form
    324,208.21/486,301.94 = 146,715.22/x
  3. Step 3: Cross multiply
    324,208.21x = 486,301.94 × 146,715.22
  4. Step 4: Simplify right side
    324,208.21x = 71,347,894,164.20
  5. Step 5: Solve for x
    x = 71,347,894,164.20/324,208.21
  6. Step 6: Final answer
    x = 220,068.13

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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.