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Finding the Fourth Proportional to 319,164.86, 478,695.44 and 150,684.86

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Solution

The fourth proportional to 319,164.86, 478,695.44 and 150,684.86 is: 226,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,164.86 : 478,695.44 = 150,684.86 : x
  2. Step 2: Convert to fraction form
    319,164.86/478,695.44 = 150,684.86/x
  3. Step 3: Cross multiply
    319,164.86x = 478,695.44 × 150,684.86
  4. Step 4: Simplify right side
    319,164.86x = 72,132,155,359.04
  5. Step 5: Solve for x
    x = 72,132,155,359.04/319,164.86
  6. Step 6: Final answer
    x = 226,002.81

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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.