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Finding the Fourth Proportional to 596,633.68, 823,391.22 and 342,023.14

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Solution

The fourth proportional to 596,633.68, 823,391.22 and 342,023.14 is: 472,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,633.68 : 823,391.22 = 342,023.14 : x
  2. Step 2: Convert to fraction form
    596,633.68/823,391.22 = 342,023.14/x
  3. Step 3: Cross multiply
    596,633.68x = 823,391.22 × 342,023.14
  4. Step 4: Simplify right side
    596,633.68x = 281,618,850,512.83
  5. Step 5: Solve for x
    x = 281,618,850,512.83/596,633.68
  6. Step 6: Final answer
    x = 472,013.00

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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.