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Finding the Fourth Proportional to 471,164.90, 706,478.76 and 321,586.25

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Solution

The fourth proportional to 471,164.90, 706,478.76 and 321,586.25 is: 482,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,164.90 : 706,478.76 = 321,586.25 : x
  2. Step 2: Convert to fraction form
    471,164.90/706,478.76 = 321,586.25/x
  3. Step 3: Cross multiply
    471,164.90x = 706,478.76 × 321,586.25
  4. Step 4: Simplify right side
    471,164.90x = 227,193,851,600.66
  5. Step 5: Solve for x
    x = 227,193,851,600.66/471,164.90
  6. Step 6: Final answer
    x = 482,196.05

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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.