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Finding the Fourth Proportional to 476,523.37, 714,626.47 and 192,140.47

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Solution

The fourth proportional to 476,523.37, 714,626.47 and 192,140.47 is: 288,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,523.37 : 714,626.47 = 192,140.47 : x
  2. Step 2: Convert to fraction form
    476,523.37/714,626.47 = 192,140.47/x
  3. Step 3: Cross multiply
    476,523.37x = 714,626.47 × 192,140.47
  4. Step 4: Simplify right side
    476,523.37x = 137,308,665,820.24
  5. Step 5: Solve for x
    x = 137,308,665,820.24/476,523.37
  6. Step 6: Final answer
    x = 288,146.76

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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.