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Finding the Fourth Proportional to 415,095.88, 622,895.82 and 165,757

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Solution

The fourth proportional to 415,095.88, 622,895.82 and 165,757 is: 248,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,095.88 : 622,895.82 = 165,757 : x
  2. Step 2: Convert to fraction form
    415,095.88/622,895.82 = 165,757/x
  3. Step 3: Cross multiply
    415,095.88x = 622,895.82 × 165,757
  4. Step 4: Simplify right side
    415,095.88x = 103,249,342,435.74
  5. Step 5: Solve for x
    x = 103,249,342,435.74/415,095.88
  6. Step 6: Final answer
    x = 248,736.13

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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.