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Finding the Fourth Proportional to 413,816.07, 620,711.84 and 114,314.67

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Solution

The fourth proportional to 413,816.07, 620,711.84 and 114,314.67 is: 171,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,816.07 : 620,711.84 = 114,314.67 : x
  2. Step 2: Convert to fraction form
    413,816.07/620,711.84 = 114,314.67/x
  3. Step 3: Cross multiply
    413,816.07x = 620,711.84 × 114,314.67
  4. Step 4: Simplify right side
    413,816.07x = 70,956,468,583.12
  5. Step 5: Solve for x
    x = 70,956,468,583.12/413,816.07
  6. Step 6: Final answer
    x = 171,468.62

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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.