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Finding the Fourth Proportional to 395,409.33, 592,991.32 and 142,656.96

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Solution

The fourth proportional to 395,409.33, 592,991.32 and 142,656.96 is: 213,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,409.33 : 592,991.32 = 142,656.96 : x
  2. Step 2: Convert to fraction form
    395,409.33/592,991.32 = 142,656.96/x
  3. Step 3: Cross multiply
    395,409.33x = 592,991.32 × 142,656.96
  4. Step 4: Simplify right side
    395,409.33x = 84,594,338,660.94
  5. Step 5: Solve for x
    x = 84,594,338,660.94/395,409.33
  6. Step 6: Final answer
    x = 213,941.18

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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.