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Finding the Fourth Proportional to 395,052.68, 592,652.82 and 158,413.88

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Solution

The fourth proportional to 395,052.68, 592,652.82 and 158,413.88 is: 237,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,052.68 : 592,652.82 = 158,413.88 : x
  2. Step 2: Convert to fraction form
    395,052.68/592,652.82 = 158,413.88/x
  3. Step 3: Cross multiply
    395,052.68x = 592,652.82 × 158,413.88
  4. Step 4: Simplify right side
    395,052.68x = 93,884,432,709.14
  5. Step 5: Solve for x
    x = 93,884,432,709.14/395,052.68
  6. Step 6: Final answer
    x = 237,650.41

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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.