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Finding the Fourth Proportional to 493,679.68, 740,020.96 and 194,370.32

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Solution

The fourth proportional to 493,679.68, 740,020.96 and 194,370.32 is: 291,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,679.68 : 740,020.96 = 194,370.32 : x
  2. Step 2: Convert to fraction form
    493,679.68/740,020.96 = 194,370.32/x
  3. Step 3: Cross multiply
    493,679.68x = 740,020.96 × 194,370.32
  4. Step 4: Simplify right side
    493,679.68x = 143,838,110,801.91
  5. Step 5: Solve for x
    x = 143,838,110,801.91/493,679.68
  6. Step 6: Final answer
    x = 291,359.19

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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.