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Finding the Fourth Proportional to 467,297.66, 700,946.56 and 147,481.86

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Solution

The fourth proportional to 467,297.66, 700,946.56 and 147,481.86 is: 221,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,297.66 : 700,946.56 = 147,481.86 : x
  2. Step 2: Convert to fraction form
    467,297.66/700,946.56 = 147,481.86/x
  3. Step 3: Cross multiply
    467,297.66x = 700,946.56 × 147,481.86
  4. Step 4: Simplify right side
    467,297.66x = 103,376,905,242.30
  5. Step 5: Solve for x
    x = 103,376,905,242.30/467,297.66
  6. Step 6: Final answer
    x = 221,222.82

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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.