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Finding the Fourth Proportional to 596,943, 823,782.15 and 328,671

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Solution

The fourth proportional to 596,943, 823,782.15 and 328,671 is: 453,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,943 : 823,782.15 = 328,671 : x
  2. Step 2: Convert to fraction form
    596,943/823,782.15 = 328,671/x
  3. Step 3: Cross multiply
    596,943x = 823,782.15 × 328,671
  4. Step 4: Simplify right side
    596,943x = 270,753,303,022.65
  5. Step 5: Solve for x
    x = 270,753,303,022.65/596,943
  6. Step 6: Final answer
    x = 453,566.43

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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.