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Finding the Fourth Proportional to 395,842.95, 593,765.64 and 96,323.58

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Solution

The fourth proportional to 395,842.95, 593,765.64 and 96,323.58 is: 144,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,842.95 : 593,765.64 = 96,323.58 : x
  2. Step 2: Convert to fraction form
    395,842.95/593,765.64 = 96,323.58/x
  3. Step 3: Cross multiply
    395,842.95x = 593,765.64 × 96,323.58
  4. Step 4: Simplify right side
    395,842.95x = 57,193,632,125.79
  5. Step 5: Solve for x
    x = 57,193,632,125.79/395,842.95
  6. Step 6: Final answer
    x = 144,485.67

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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.