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Finding the Fourth Proportional to 646,746.80, 970,120.20 and 203,514.80

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Solution

The fourth proportional to 646,746.80, 970,120.20 and 203,514.80 is: 305,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,746.80 : 970,120.20 = 203,514.80 : x
  2. Step 2: Convert to fraction form
    646,746.80/970,120.20 = 203,514.80/x
  3. Step 3: Cross multiply
    646,746.80x = 970,120.20 × 203,514.80
  4. Step 4: Simplify right side
    646,746.80x = 197,433,818,478.96
  5. Step 5: Solve for x
    x = 197,433,818,478.96/646,746.80
  6. Step 6: Final answer
    x = 305,272.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.