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Finding the Fourth Proportional to 324,212.60, 486,203.70 and 146,804.60

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Solution

The fourth proportional to 324,212.60, 486,203.70 and 146,804.60 is: 220,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,212.60 : 486,203.70 = 146,804.60 : x
  2. Step 2: Convert to fraction form
    324,212.60/486,203.70 = 146,804.60/x
  3. Step 3: Cross multiply
    324,212.60x = 486,203.70 × 146,804.60
  4. Step 4: Simplify right side
    324,212.60x = 71,376,939,697.02
  5. Step 5: Solve for x
    x = 71,376,939,697.02/324,212.60
  6. Step 6: Final answer
    x = 220,154.74

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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.