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Finding the Fourth Proportional to 465,643.89, 698,954.49 and 412,674.75

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Solution

The fourth proportional to 465,643.89, 698,954.49 and 412,674.75 is: 619,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,643.89 : 698,954.49 = 412,674.75 : x
  2. Step 2: Convert to fraction form
    465,643.89/698,954.49 = 412,674.75/x
  3. Step 3: Cross multiply
    465,643.89x = 698,954.49 × 412,674.75
  4. Step 4: Simplify right side
    465,643.89x = 288,440,869,422.13
  5. Step 5: Solve for x
    x = 288,440,869,422.13/465,643.89
  6. Step 6: Final answer
    x = 619,445.19

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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.