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Finding the Fourth Proportional to 463,137.30, 693,721.80 and 384,405.30

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Solution

The fourth proportional to 463,137.30, 693,721.80 and 384,405.30 is: 575,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,137.30 : 693,721.80 = 384,405.30 : x
  2. Step 2: Convert to fraction form
    463,137.30/693,721.80 = 384,405.30/x
  3. Step 3: Cross multiply
    463,137.30x = 693,721.80 × 384,405.30
  4. Step 4: Simplify right side
    463,137.30x = 266,670,336,645.54
  5. Step 5: Solve for x
    x = 266,670,336,645.54/463,137.30
  6. Step 6: Final answer
    x = 575,791.10

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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.