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Finding the Fourth Proportional to 493,124.72, 739,708.17 and 193,670.21

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Solution

The fourth proportional to 493,124.72, 739,708.17 and 193,670.21 is: 290,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,124.72 : 739,708.17 = 193,670.21 : x
  2. Step 2: Convert to fraction form
    493,124.72/739,708.17 = 193,670.21/x
  3. Step 3: Cross multiply
    493,124.72x = 739,708.17 × 193,670.21
  4. Step 4: Simplify right side
    493,124.72x = 143,259,437,987.71
  5. Step 5: Solve for x
    x = 143,259,437,987.71/493,124.72
  6. Step 6: Final answer
    x = 290,513.60

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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.