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Finding the Fourth Proportional to 465,841.35, 698,263.76 and 212,742.56

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Solution

The fourth proportional to 465,841.35, 698,263.76 and 212,742.56 is: 318,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,841.35 : 698,263.76 = 212,742.56 : x
  2. Step 2: Convert to fraction form
    465,841.35/698,263.76 = 212,742.56/x
  3. Step 3: Cross multiply
    465,841.35x = 698,263.76 × 212,742.56
  4. Step 4: Simplify right side
    465,841.35x = 148,550,422,135.14
  5. Step 5: Solve for x
    x = 148,550,422,135.14/465,841.35
  6. Step 6: Final answer
    x = 318,886.29

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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.