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Finding the Fourth Proportional to 382,047, 573,070.56 and 119,391

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Solution

The fourth proportional to 382,047, 573,070.56 and 119,391 is: 179,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,047 : 573,070.56 = 119,391 : x
  2. Step 2: Convert to fraction form
    382,047/573,070.56 = 119,391/x
  3. Step 3: Cross multiply
    382,047x = 573,070.56 × 119,391
  4. Step 4: Simplify right side
    382,047x = 68,419,467,228.96
  5. Step 5: Solve for x
    x = 68,419,467,228.96/382,047
  6. Step 6: Final answer
    x = 179,086.52

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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.