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Finding the Fourth Proportional to 417,373.88, 626,098.30 and 117,857.48

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Solution

The fourth proportional to 417,373.88, 626,098.30 and 117,857.48 is: 176,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,373.88 : 626,098.30 = 117,857.48 : x
  2. Step 2: Convert to fraction form
    417,373.88/626,098.30 = 117,857.48/x
  3. Step 3: Cross multiply
    417,373.88x = 626,098.30 × 117,857.48
  4. Step 4: Simplify right side
    417,373.88x = 73,790,367,870.28
  5. Step 5: Solve for x
    x = 73,790,367,870.28/417,373.88
  6. Step 6: Final answer
    x = 176,796.80

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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.