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Finding the Fourth Proportional to 482,704.92, 723,679.38 and 304,838.64

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Solution

The fourth proportional to 482,704.92, 723,679.38 and 304,838.64 is: 457,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,704.92 : 723,679.38 = 304,838.64 : x
  2. Step 2: Convert to fraction form
    482,704.92/723,679.38 = 304,838.64/x
  3. Step 3: Cross multiply
    482,704.92x = 723,679.38 × 304,838.64
  4. Step 4: Simplify right side
    482,704.92x = 220,605,437,995.24
  5. Step 5: Solve for x
    x = 220,605,437,995.24/482,704.92
  6. Step 6: Final answer
    x = 457,019.24

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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.