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Finding the Fourth Proportional to 493,310.38, 739,665.93 and 193,431.69

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Solution

The fourth proportional to 493,310.38, 739,665.93 and 193,431.69 is: 290,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,310.38 : 739,665.93 = 193,431.69 : x
  2. Step 2: Convert to fraction form
    493,310.38/739,665.93 = 193,431.69/x
  3. Step 3: Cross multiply
    493,310.38x = 739,665.93 × 193,431.69
  4. Step 4: Simplify right side
    493,310.38x = 143,074,830,875.32
  5. Step 5: Solve for x
    x = 143,074,830,875.32/493,310.38
  6. Step 6: Final answer
    x = 290,030.04

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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.