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Finding the Fourth Proportional to 431,621.32, 647,831.28 and 218,539

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Solution

The fourth proportional to 431,621.32, 647,831.28 and 218,539 is: 328,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,621.32 : 647,831.28 = 218,539 : x
  2. Step 2: Convert to fraction form
    431,621.32/647,831.28 = 218,539/x
  3. Step 3: Cross multiply
    431,621.32x = 647,831.28 × 218,539
  4. Step 4: Simplify right side
    431,621.32x = 141,576,400,099.92
  5. Step 5: Solve for x
    x = 141,576,400,099.92/431,621.32
  6. Step 6: Final answer
    x = 328,010.67

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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.