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Finding the Fourth Proportional to 596,782.71, 823,570.65 and 324,858.42

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Solution

The fourth proportional to 596,782.71, 823,570.65 and 324,858.42 is: 448,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,782.71 : 823,570.65 = 324,858.42 : x
  2. Step 2: Convert to fraction form
    596,782.71/823,570.65 = 324,858.42/x
  3. Step 3: Cross multiply
    596,782.71x = 823,570.65 × 324,858.42
  4. Step 4: Simplify right side
    596,782.71x = 267,543,860,117.37
  5. Step 5: Solve for x
    x = 267,543,860,117.37/596,782.71
  6. Step 6: Final answer
    x = 448,310.34

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