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Finding the Fourth Proportional to 275,332.72, 413,042.28 and 117,562

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Solution

The fourth proportional to 275,332.72, 413,042.28 and 117,562 is: 176,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,332.72 : 413,042.28 = 117,562 : x
  2. Step 2: Convert to fraction form
    275,332.72/413,042.28 = 117,562/x
  3. Step 3: Cross multiply
    275,332.72x = 413,042.28 × 117,562
  4. Step 4: Simplify right side
    275,332.72x = 48,558,076,521.36
  5. Step 5: Solve for x
    x = 48,558,076,521.36/275,332.72
  6. Step 6: Final answer
    x = 176,361.45

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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.