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Finding the Fourth Proportional to 505,852.38, 698,401.71 and 324,642.42

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Solution

The fourth proportional to 505,852.38, 698,401.71 and 324,642.42 is: 448,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,852.38 : 698,401.71 = 324,642.42 : x
  2. Step 2: Convert to fraction form
    505,852.38/698,401.71 = 324,642.42/x
  3. Step 3: Cross multiply
    505,852.38x = 698,401.71 × 324,642.42
  4. Step 4: Simplify right side
    505,852.38x = 226,730,821,266.54
  5. Step 5: Solve for x
    x = 226,730,821,266.54/505,852.38
  6. Step 6: Final answer
    x = 448,215.39

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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.