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Finding the Fourth Proportional to 344,769, 517,328.46 and 157,827.48

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Solution

The fourth proportional to 344,769, 517,328.46 and 157,827.48 is: 236,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,769 : 517,328.46 = 157,827.48 : x
  2. Step 2: Convert to fraction form
    344,769/517,328.46 = 157,827.48/x
  3. Step 3: Cross multiply
    344,769x = 517,328.46 × 157,827.48
  4. Step 4: Simplify right side
    344,769x = 81,648,647,174.08
  5. Step 5: Solve for x
    x = 81,648,647,174.08/344,769
  6. Step 6: Final answer
    x = 236,821.31

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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.