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Finding the Fourth Proportional to 493,308.63, 739,663.31 and 193,429.93

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Solution

The fourth proportional to 493,308.63, 739,663.31 and 193,429.93 is: 290,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,308.63 : 739,663.31 = 193,429.93 : x
  2. Step 2: Convert to fraction form
    493,308.63/739,663.31 = 193,429.93/x
  3. Step 3: Cross multiply
    493,308.63x = 739,663.31 × 193,429.93
  4. Step 4: Simplify right side
    493,308.63x = 143,073,021,309.72
  5. Step 5: Solve for x
    x = 143,073,021,309.72/493,308.63
  6. Step 6: Final answer
    x = 290,027.40

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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.