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Finding the Fourth Proportional to 497,221.80, 746,415.90 and 493,722.60

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Solution

The fourth proportional to 497,221.80, 746,415.90 and 493,722.60 is: 741,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,221.80 : 746,415.90 = 493,722.60 : x
  2. Step 2: Convert to fraction form
    497,221.80/746,415.90 = 493,722.60/x
  3. Step 3: Cross multiply
    497,221.80x = 746,415.90 × 493,722.60
  4. Step 4: Simplify right side
    497,221.80x = 368,522,398,829.34
  5. Step 5: Solve for x
    x = 368,522,398,829.34/497,221.80
  6. Step 6: Final answer
    x = 741,163.00

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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.