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Finding the Fourth Proportional to 646,634.30, 970,069.07 and 220,148.30

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Solution

The fourth proportional to 646,634.30, 970,069.07 and 220,148.30 is: 330,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,634.30 : 970,069.07 = 220,148.30 : x
  2. Step 2: Convert to fraction form
    646,634.30/970,069.07 = 220,148.30/x
  3. Step 3: Cross multiply
    646,634.30x = 970,069.07 × 220,148.30
  4. Step 4: Simplify right side
    646,634.30x = 213,559,059,618.62
  5. Step 5: Solve for x
    x = 213,559,059,618.62/646,634.30
  6. Step 6: Final answer
    x = 330,262.50

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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.