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Finding the Fourth Proportional to 338,401.71, 466,994.34 and 202,441.37

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Solution

The fourth proportional to 338,401.71, 466,994.34 and 202,441.37 is: 279,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,401.71 : 466,994.34 = 202,441.37 : x
  2. Step 2: Convert to fraction form
    338,401.71/466,994.34 = 202,441.37/x
  3. Step 3: Cross multiply
    338,401.71x = 466,994.34 × 202,441.37
  4. Step 4: Simplify right side
    338,401.71x = 94,538,971,636.87
  5. Step 5: Solve for x
    x = 94,538,971,636.87/338,401.71
  6. Step 6: Final answer
    x = 279,369.07

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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.