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Finding the Fourth Proportional to 313,011.64, 469,554.72 and 99,704.67

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Solution

The fourth proportional to 313,011.64, 469,554.72 and 99,704.67 is: 149,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,011.64 : 469,554.72 = 99,704.67 : x
  2. Step 2: Convert to fraction form
    313,011.64/469,554.72 = 99,704.67/x
  3. Step 3: Cross multiply
    313,011.64x = 469,554.72 × 99,704.67
  4. Step 4: Simplify right side
    313,011.64x = 46,816,796,056.77
  5. Step 5: Solve for x
    x = 46,816,796,056.77/313,011.64
  6. Step 6: Final answer
    x = 149,568.87

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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.