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Finding the Fourth Proportional to 497,892.60, 746,741.70 and 165,468.60

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Solution

The fourth proportional to 497,892.60, 746,741.70 and 165,468.60 is: 248,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,892.60 : 746,741.70 = 165,468.60 : x
  2. Step 2: Convert to fraction form
    497,892.60/746,741.70 = 165,468.60/x
  3. Step 3: Cross multiply
    497,892.60x = 746,741.70 × 165,468.60
  4. Step 4: Simplify right side
    497,892.60x = 123,562,303,660.62
  5. Step 5: Solve for x
    x = 123,562,303,660.62/497,892.60
  6. Step 6: Final answer
    x = 248,170.60

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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.