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Finding the Fourth Proportional to 537,493.60, 806,240.40 and 195,962.64

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Solution

The fourth proportional to 537,493.60, 806,240.40 and 195,962.64 is: 293,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,493.60 : 806,240.40 = 195,962.64 : x
  2. Step 2: Convert to fraction form
    537,493.60/806,240.40 = 195,962.64/x
  3. Step 3: Cross multiply
    537,493.60x = 806,240.40 × 195,962.64
  4. Step 4: Simplify right side
    537,493.60x = 157,992,997,258.66
  5. Step 5: Solve for x
    x = 157,992,997,258.66/537,493.60
  6. Step 6: Final answer
    x = 293,943.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.