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Finding the Fourth Proportional to 357,490.47, 493,342.79 and 196,360.41

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Solution

The fourth proportional to 357,490.47, 493,342.79 and 196,360.41 is: 270,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,490.47 : 493,342.79 = 196,360.41 : x
  2. Step 2: Convert to fraction form
    357,490.47/493,342.79 = 196,360.41/x
  3. Step 3: Cross multiply
    357,490.47x = 493,342.79 × 196,360.41
  4. Step 4: Simplify right side
    357,490.47x = 96,872,991,533.14
  5. Step 5: Solve for x
    x = 96,872,991,533.14/357,490.47
  6. Step 6: Final answer
    x = 270,980.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.