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Finding the Fourth Proportional to 465,842.85, 698,266.01 and 212,744.07

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Solution

The fourth proportional to 465,842.85, 698,266.01 and 212,744.07 is: 318,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,842.85 : 698,266.01 = 212,744.07 : x
  2. Step 2: Convert to fraction form
    465,842.85/698,266.01 = 212,744.07/x
  3. Step 3: Cross multiply
    465,842.85x = 698,266.01 × 212,744.07
  4. Step 4: Simplify right side
    465,842.85x = 148,551,952,910.06
  5. Step 5: Solve for x
    x = 148,551,952,910.06/465,842.85
  6. Step 6: Final answer
    x = 318,888.55

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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.