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Finding the Fourth Proportional to 382,190.38, 573,373.92 and 112,322.54

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Solution

The fourth proportional to 382,190.38, 573,373.92 and 112,322.54 is: 168,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,190.38 : 573,373.92 = 112,322.54 : x
  2. Step 2: Convert to fraction form
    382,190.38/573,373.92 = 112,322.54/x
  3. Step 3: Cross multiply
    382,190.38x = 573,373.92 × 112,322.54
  4. Step 4: Simplify right side
    382,190.38x = 64,402,815,064.16
  5. Step 5: Solve for x
    x = 64,402,815,064.16/382,190.38
  6. Step 6: Final answer
    x = 168,509.78

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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.