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Finding the Fourth Proportional to 497,723.40, 746,056.98 and 244,647

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Solution

The fourth proportional to 497,723.40, 746,056.98 and 244,647 is: 366,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,723.40 : 746,056.98 = 244,647 : x
  2. Step 2: Convert to fraction form
    497,723.40/746,056.98 = 244,647/x
  3. Step 3: Cross multiply
    497,723.40x = 746,056.98 × 244,647
  4. Step 4: Simplify right side
    497,723.40x = 182,520,601,986.06
  5. Step 5: Solve for x
    x = 182,520,601,986.06/497,723.40
  6. Step 6: Final answer
    x = 366,710.91

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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.