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Finding the Fourth Proportional to 471,615.60, 706,978.71 and 234,734.34

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Solution

The fourth proportional to 471,615.60, 706,978.71 and 234,734.34 is: 351,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,615.60 : 706,978.71 = 234,734.34 : x
  2. Step 2: Convert to fraction form
    471,615.60/706,978.71 = 234,734.34/x
  3. Step 3: Cross multiply
    471,615.60x = 706,978.71 × 234,734.34
  4. Step 4: Simplify right side
    471,615.60x = 165,952,180,885.90
  5. Step 5: Solve for x
    x = 165,952,180,885.90/471,615.60
  6. Step 6: Final answer
    x = 351,880.18

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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.