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Finding the Fourth Proportional to 395,199.16, 592,909.76 and 158,707.92

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Solution

The fourth proportional to 395,199.16, 592,909.76 and 158,707.92 is: 238,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,199.16 : 592,909.76 = 158,707.92 : x
  2. Step 2: Convert to fraction form
    395,199.16/592,909.76 = 158,707.92/x
  3. Step 3: Cross multiply
    395,199.16x = 592,909.76 × 158,707.92
  4. Step 4: Simplify right side
    395,199.16x = 94,099,474,757.30
  5. Step 5: Solve for x
    x = 94,099,474,757.30/395,199.16
  6. Step 6: Final answer
    x = 238,106.46

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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.