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Finding the Fourth Proportional to 464,843.10, 697,263.21 and 262,347.39

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Solution

The fourth proportional to 464,843.10, 697,263.21 and 262,347.39 is: 393,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,843.10 : 697,263.21 = 262,347.39 : x
  2. Step 2: Convert to fraction form
    464,843.10/697,263.21 = 262,347.39/x
  3. Step 3: Cross multiply
    464,843.10x = 697,263.21 × 262,347.39
  4. Step 4: Simplify right side
    464,843.10x = 182,925,183,286.52
  5. Step 5: Solve for x
    x = 182,925,183,286.52/464,843.10
  6. Step 6: Final answer
    x = 393,520.27

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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.