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Finding the Fourth Proportional to 463,685.78, 695,058.10 and 263,592.70

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Solution

The fourth proportional to 463,685.78, 695,058.10 and 263,592.70 is: 395,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,685.78 : 695,058.10 = 263,592.70 : x
  2. Step 2: Convert to fraction form
    463,685.78/695,058.10 = 263,592.70/x
  3. Step 3: Cross multiply
    463,685.78x = 695,058.10 × 263,592.70
  4. Step 4: Simplify right side
    463,685.78x = 183,212,241,235.87
  5. Step 5: Solve for x
    x = 183,212,241,235.87/463,685.78
  6. Step 6: Final answer
    x = 395,121.54

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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.