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Finding the Fourth Proportional to 463,765.82, 694,098.68 and 264,032.58

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Solution

The fourth proportional to 463,765.82, 694,098.68 and 264,032.58 is: 395,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,765.82 : 694,098.68 = 264,032.58 : x
  2. Step 2: Convert to fraction form
    463,765.82/694,098.68 = 264,032.58/x
  3. Step 3: Cross multiply
    463,765.82x = 694,098.68 × 264,032.58
  4. Step 4: Simplify right side
    463,765.82x = 183,264,663,934.83
  5. Step 5: Solve for x
    x = 183,264,663,934.83/463,765.82
  6. Step 6: Final answer
    x = 395,166.39

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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.