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Finding the Fourth Proportional to 493,143.40, 739,283.10 and 334,858.60

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Solution

The fourth proportional to 493,143.40, 739,283.10 and 334,858.60 is: 501,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,143.40 : 739,283.10 = 334,858.60 : x
  2. Step 2: Convert to fraction form
    493,143.40/739,283.10 = 334,858.60/x
  3. Step 3: Cross multiply
    493,143.40x = 739,283.10 × 334,858.60
  4. Step 4: Simplify right side
    493,143.40x = 247,555,303,869.66
  5. Step 5: Solve for x
    x = 247,555,303,869.66/493,143.40
  6. Step 6: Final answer
    x = 501,994.56

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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.