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Finding the Fourth Proportional to 321,574.53, 482,434.70 and 111,214.29

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Solution

The fourth proportional to 321,574.53, 482,434.70 and 111,214.29 is: 166,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,574.53 : 482,434.70 = 111,214.29 : x
  2. Step 2: Convert to fraction form
    321,574.53/482,434.70 = 111,214.29/x
  3. Step 3: Cross multiply
    321,574.53x = 482,434.70 × 111,214.29
  4. Step 4: Simplify right side
    321,574.53x = 53,653,632,075.79
  5. Step 5: Solve for x
    x = 53,653,632,075.79/321,574.53
  6. Step 6: Final answer
    x = 166,846.65

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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.