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Finding the Fourth Proportional to 405,762.15, 559,851.17 and 262,349.63

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Solution

The fourth proportional to 405,762.15, 559,851.17 and 262,349.63 is: 361,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,762.15 : 559,851.17 = 262,349.63 : x
  2. Step 2: Convert to fraction form
    405,762.15/559,851.17 = 262,349.63/x
  3. Step 3: Cross multiply
    405,762.15x = 559,851.17 × 262,349.63
  4. Step 4: Simplify right side
    405,762.15x = 146,876,743,193.56
  5. Step 5: Solve for x
    x = 146,876,743,193.56/405,762.15
  6. Step 6: Final answer
    x = 361,977.44

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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.