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Finding the Fourth Proportional to 417,376.80, 626,089.43 and 117,832.30

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Solution

The fourth proportional to 417,376.80, 626,089.43 and 117,832.30 is: 176,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,376.80 : 626,089.43 = 117,832.30 : x
  2. Step 2: Convert to fraction form
    417,376.80/626,089.43 = 117,832.30/x
  3. Step 3: Cross multiply
    417,376.80x = 626,089.43 × 117,832.30
  4. Step 4: Simplify right side
    417,376.80x = 73,773,559,793.70
  5. Step 5: Solve for x
    x = 73,773,559,793.70/417,376.80
  6. Step 6: Final answer
    x = 176,755.30

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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.