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Finding the Fourth Proportional to 383,311.34, 574,946.31 and 117,051.17

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Solution

The fourth proportional to 383,311.34, 574,946.31 and 117,051.17 is: 175,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,311.34 : 574,946.31 = 117,051.17 : x
  2. Step 2: Convert to fraction form
    383,311.34/574,946.31 = 117,051.17/x
  3. Step 3: Cross multiply
    383,311.34x = 574,946.31 × 117,051.17
  4. Step 4: Simplify right side
    383,311.34x = 67,298,138,272.68
  5. Step 5: Solve for x
    x = 67,298,138,272.68/383,311.34
  6. Step 6: Final answer
    x = 175,570.44

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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.