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Finding the Fourth Proportional to 395,878.16, 593,770.46 and 111,590.03

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Solution

The fourth proportional to 395,878.16, 593,770.46 and 111,590.03 is: 167,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,878.16 : 593,770.46 = 111,590.03 : x
  2. Step 2: Convert to fraction form
    395,878.16/593,770.46 = 111,590.03/x
  3. Step 3: Cross multiply
    395,878.16x = 593,770.46 × 111,590.03
  4. Step 4: Simplify right side
    395,878.16x = 66,258,863,444.51
  5. Step 5: Solve for x
    x = 66,258,863,444.51/395,878.16
  6. Step 6: Final answer
    x = 167,371.86

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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.