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Finding the Fourth Proportional to 725,140.44, 1,000,722 and 496,177.74

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Solution

The fourth proportional to 725,140.44, 1,000,722 and 496,177.74 is: 684,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,140.44 : 1,000,722 = 496,177.74 : x
  2. Step 2: Convert to fraction form
    725,140.44/1,000,722 = 496,177.74/x
  3. Step 3: Cross multiply
    725,140.44x = 1,000,722 × 496,177.74
  4. Step 4: Simplify right side
    725,140.44x = 496,535,980,328.28
  5. Step 5: Solve for x
    x = 496,535,980,328.28/725,140.44
  6. Step 6: Final answer
    x = 684,744.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.