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Finding the Fourth Proportional to 431,981.87, 647,898.93 and 116,364.95

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Solution

The fourth proportional to 431,981.87, 647,898.93 and 116,364.95 is: 174,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,981.87 : 647,898.93 = 116,364.95 : x
  2. Step 2: Convert to fraction form
    431,981.87/647,898.93 = 116,364.95/x
  3. Step 3: Cross multiply
    431,981.87x = 647,898.93 × 116,364.95
  4. Step 4: Simplify right side
    431,981.87x = 75,392,726,594.50
  5. Step 5: Solve for x
    x = 75,392,726,594.50/431,981.87
  6. Step 6: Final answer
    x = 174,527.52

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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.