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Finding the Fourth Proportional to 304,284.87, 419,811.12 and 175,220.55

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Solution

The fourth proportional to 304,284.87, 419,811.12 and 175,220.55 is: 241,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,284.87 : 419,811.12 = 175,220.55 : x
  2. Step 2: Convert to fraction form
    304,284.87/419,811.12 = 175,220.55/x
  3. Step 3: Cross multiply
    304,284.87x = 419,811.12 × 175,220.55
  4. Step 4: Simplify right side
    304,284.87x = 73,559,535,342.52
  5. Step 5: Solve for x
    x = 73,559,535,342.52/304,284.87
  6. Step 6: Final answer
    x = 241,745.62

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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.