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Finding the Fourth Proportional to 382,675.90, 573,814.96 and 112,768.64

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Solution

The fourth proportional to 382,675.90, 573,814.96 and 112,768.64 is: 169,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,675.90 : 573,814.96 = 112,768.64 : x
  2. Step 2: Convert to fraction form
    382,675.90/573,814.96 = 112,768.64/x
  3. Step 3: Cross multiply
    382,675.90x = 573,814.96 × 112,768.64
  4. Step 4: Simplify right side
    382,675.90x = 64,708,332,650.85
  5. Step 5: Solve for x
    x = 64,708,332,650.85/382,675.90
  6. Step 6: Final answer
    x = 169,094.35

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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.