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Finding the Fourth Proportional to 466,551.54, 698,982.48 and 214,043.22

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Solution

The fourth proportional to 466,551.54, 698,982.48 and 214,043.22 is: 320,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,551.54 : 698,982.48 = 214,043.22 : x
  2. Step 2: Convert to fraction form
    466,551.54/698,982.48 = 214,043.22/x
  3. Step 3: Cross multiply
    466,551.54x = 698,982.48 × 214,043.22
  4. Step 4: Simplify right side
    466,551.54x = 149,612,460,742.79
  5. Step 5: Solve for x
    x = 149,612,460,742.79/466,551.54
  6. Step 6: Final answer
    x = 320,677.24

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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.