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Finding the Fourth Proportional to 493,749.80, 740,650.31 and 156,816.82

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Solution

The fourth proportional to 493,749.80, 740,650.31 and 156,816.82 is: 235,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,749.80 : 740,650.31 = 156,816.82 : x
  2. Step 2: Convert to fraction form
    493,749.80/740,650.31 = 156,816.82/x
  3. Step 3: Cross multiply
    493,749.80x = 740,650.31 × 156,816.82
  4. Step 4: Simplify right side
    493,749.80x = 116,146,424,886.63
  5. Step 5: Solve for x
    x = 116,146,424,886.63/493,749.80
  6. Step 6: Final answer
    x = 235,233.36

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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.