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Finding the Fourth Proportional to 596,782.61, 823,570.50 and 324,858.32

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Solution

The fourth proportional to 596,782.61, 823,570.50 and 324,858.32 is: 448,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,782.61 : 823,570.50 = 324,858.32 : x
  2. Step 2: Convert to fraction form
    596,782.61/823,570.50 = 324,858.32/x
  3. Step 3: Cross multiply
    596,782.61x = 823,570.50 × 324,858.32
  4. Step 4: Simplify right side
    596,782.61x = 267,543,724,913.71
  5. Step 5: Solve for x
    x = 267,543,724,913.71/596,782.61
  6. Step 6: Final answer
    x = 448,310.19

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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.