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Finding the Fourth Proportional to 347,809.29, 521,891.86 and 165,646.32

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Solution

The fourth proportional to 347,809.29, 521,891.86 and 165,646.32 is: 248,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,809.29 : 521,891.86 = 165,646.32 : x
  2. Step 2: Convert to fraction form
    347,809.29/521,891.86 = 165,646.32/x
  3. Step 3: Cross multiply
    347,809.29x = 521,891.86 × 165,646.32
  4. Step 4: Simplify right side
    347,809.29x = 86,449,463,986.33
  5. Step 5: Solve for x
    x = 86,449,463,986.33/347,809.29
  6. Step 6: Final answer
    x = 248,554.21

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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.