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Finding the Fourth Proportional to 275,594.72, 413,435.40 and 117,824

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Solution

The fourth proportional to 275,594.72, 413,435.40 and 117,824 is: 176,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,594.72 : 413,435.40 = 117,824 : x
  2. Step 2: Convert to fraction form
    275,594.72/413,435.40 = 117,824/x
  3. Step 3: Cross multiply
    275,594.72x = 413,435.40 × 117,824
  4. Step 4: Simplify right side
    275,594.72x = 48,712,612,569.60
  5. Step 5: Solve for x
    x = 48,712,612,569.60/275,594.72
  6. Step 6: Final answer
    x = 176,754.52

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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.