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Finding the Fourth Proportional to 413,348, 620,027.76 and 117,860

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Solution

The fourth proportional to 413,348, 620,027.76 and 117,860 is: 176,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,348 : 620,027.76 = 117,860 : x
  2. Step 2: Convert to fraction form
    413,348/620,027.76 = 117,860/x
  3. Step 3: Cross multiply
    413,348x = 620,027.76 × 117,860
  4. Step 4: Simplify right side
    413,348x = 73,076,471,793.60
  5. Step 5: Solve for x
    x = 73,076,471,793.60/413,348
  6. Step 6: Final answer
    x = 176,791.64

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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.