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Finding the Fourth Proportional to 596,968.76, 823,789.32 and 325,035.80

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Solution

The fourth proportional to 596,968.76, 823,789.32 and 325,035.80 is: 448,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,968.76 : 823,789.32 = 325,035.80 : x
  2. Step 2: Convert to fraction form
    596,968.76/823,789.32 = 325,035.80/x
  3. Step 3: Cross multiply
    596,968.76x = 823,789.32 × 325,035.80
  4. Step 4: Simplify right side
    596,968.76x = 267,761,020,657.66
  5. Step 5: Solve for x
    x = 267,761,020,657.66/596,968.76
  6. Step 6: Final answer
    x = 448,534.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.