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Finding the Fourth Proportional to 361,015.32, 498,199.32 and 197,668.86

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Solution

The fourth proportional to 361,015.32, 498,199.32 and 197,668.86 is: 272,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,015.32 : 498,199.32 = 197,668.86 : x
  2. Step 2: Convert to fraction form
    361,015.32/498,199.32 = 197,668.86/x
  3. Step 3: Cross multiply
    361,015.32x = 498,199.32 × 197,668.86
  4. Step 4: Simplify right side
    361,015.32x = 98,478,490,648.83
  5. Step 5: Solve for x
    x = 98,478,490,648.83/361,015.32
  6. Step 6: Final answer
    x = 272,782.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.