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Finding the Fourth Proportional to 324,021.40, 486,032.10 and 312,211.60

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Solution

The fourth proportional to 324,021.40, 486,032.10 and 312,211.60 is: 468,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,021.40 : 486,032.10 = 312,211.60 : x
  2. Step 2: Convert to fraction form
    324,021.40/486,032.10 = 312,211.60/x
  3. Step 3: Cross multiply
    324,021.40x = 486,032.10 × 312,211.60
  4. Step 4: Simplify right side
    324,021.40x = 151,744,859,592.36
  5. Step 5: Solve for x
    x = 151,744,859,592.36/324,021.40
  6. Step 6: Final answer
    x = 468,317.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.