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Finding the Fourth Proportional to 493,659.40, 739,970.70 and 194,024.20

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Solution

The fourth proportional to 493,659.40, 739,970.70 and 194,024.20 is: 290,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,659.40 : 739,970.70 = 194,024.20 : x
  2. Step 2: Convert to fraction form
    493,659.40/739,970.70 = 194,024.20/x
  3. Step 3: Cross multiply
    493,659.40x = 739,970.70 × 194,024.20
  4. Step 4: Simplify right side
    493,659.40x = 143,572,223,090.94
  5. Step 5: Solve for x
    x = 143,572,223,090.94/493,659.40
  6. Step 6: Final answer
    x = 290,832.55

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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.