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Finding the Fourth Proportional to 497,762.60, 746,643.90 and 165,338.60

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Solution

The fourth proportional to 497,762.60, 746,643.90 and 165,338.60 is: 248,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,762.60 : 746,643.90 = 165,338.60 : x
  2. Step 2: Convert to fraction form
    497,762.60/746,643.90 = 165,338.60/x
  3. Step 3: Cross multiply
    497,762.60x = 746,643.90 × 165,338.60
  4. Step 4: Simplify right side
    497,762.60x = 123,449,057,124.54
  5. Step 5: Solve for x
    x = 123,449,057,124.54/497,762.60
  6. Step 6: Final answer
    x = 248,007.90

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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.