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Finding the Fourth Proportional to 297,496, 410,503.16 and 174,993.92

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Solution

The fourth proportional to 297,496, 410,503.16 and 174,993.92 is: 241,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,496 : 410,503.16 = 174,993.92 : x
  2. Step 2: Convert to fraction form
    297,496/410,503.16 = 174,993.92/x
  3. Step 3: Cross multiply
    297,496x = 410,503.16 × 174,993.92
  4. Step 4: Simplify right side
    297,496x = 71,835,557,140.79
  5. Step 5: Solve for x
    x = 71,835,557,140.79/297,496
  6. Step 6: Final answer
    x = 241,467.30

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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.