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Finding the Fourth Proportional to 462,448.87, 638,002.26 and 281,094.64

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Solution

The fourth proportional to 462,448.87, 638,002.26 and 281,094.64 is: 387,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,448.87 : 638,002.26 = 281,094.64 : x
  2. Step 2: Convert to fraction form
    462,448.87/638,002.26 = 281,094.64/x
  3. Step 3: Cross multiply
    462,448.87x = 638,002.26 × 281,094.64
  4. Step 4: Simplify right side
    462,448.87x = 179,339,013,998.88
  5. Step 5: Solve for x
    x = 179,339,013,998.88/462,448.87
  6. Step 6: Final answer
    x = 387,802.90

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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.