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Finding the Fourth Proportional to 313,048.19, 431,527.15 and 191,964.94

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Solution

The fourth proportional to 313,048.19, 431,527.15 and 191,964.94 is: 264,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,048.19 : 431,527.15 = 191,964.94 : x
  2. Step 2: Convert to fraction form
    313,048.19/431,527.15 = 191,964.94/x
  3. Step 3: Cross multiply
    313,048.19x = 431,527.15 × 191,964.94
  4. Step 4: Simplify right side
    313,048.19x = 82,838,082,619.26
  5. Step 5: Solve for x
    x = 82,838,082,619.26/313,048.19
  6. Step 6: Final answer
    x = 264,617.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.