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Finding the Fourth Proportional to 395,451.42, 593,054.40 and 142,699.14

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Solution

The fourth proportional to 395,451.42, 593,054.40 and 142,699.14 is: 214,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,451.42 : 593,054.40 = 142,699.14 : x
  2. Step 2: Convert to fraction form
    395,451.42/593,054.40 = 142,699.14/x
  3. Step 3: Cross multiply
    395,451.42x = 593,054.40 × 142,699.14
  4. Step 4: Simplify right side
    395,451.42x = 84,628,352,853.22
  5. Step 5: Solve for x
    x = 84,628,352,853.22/395,451.42
  6. Step 6: Final answer
    x = 214,004.42

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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.