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Finding the Fourth Proportional to 293,545, 405,092.10 and 159,409

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Solution

The fourth proportional to 293,545, 405,092.10 and 159,409 is: 219,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,545 : 405,092.10 = 159,409 : x
  2. Step 2: Convert to fraction form
    293,545/405,092.10 = 159,409/x
  3. Step 3: Cross multiply
    293,545x = 405,092.10 × 159,409
  4. Step 4: Simplify right side
    293,545x = 64,575,326,568.90
  5. Step 5: Solve for x
    x = 64,575,326,568.90/293,545
  6. Step 6: Final answer
    x = 219,984.42

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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.