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Finding the Fourth Proportional to 297,392, 410,348.04 and 168,329.84

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Solution

The fourth proportional to 297,392, 410,348.04 and 168,329.84 is: 232,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,392 : 410,348.04 = 168,329.84 : x
  2. Step 2: Convert to fraction form
    297,392/410,348.04 = 168,329.84/x
  3. Step 3: Cross multiply
    297,392x = 410,348.04 × 168,329.84
  4. Step 4: Simplify right side
    297,392x = 69,073,819,917.51
  5. Step 5: Solve for x
    x = 69,073,819,917.51/297,392
  6. Step 6: Final answer
    x = 232,265.23

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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.