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Finding the Fourth Proportional to 329,490.86, 493,535.46 and 194,409.35

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Solution

The fourth proportional to 329,490.86, 493,535.46 and 194,409.35 is: 291,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,490.86 : 493,535.46 = 194,409.35 : x
  2. Step 2: Convert to fraction form
    329,490.86/493,535.46 = 194,409.35/x
  3. Step 3: Cross multiply
    329,490.86x = 493,535.46 × 194,409.35
  4. Step 4: Simplify right side
    329,490.86x = 95,947,907,980.55
  5. Step 5: Solve for x
    x = 95,947,907,980.55/329,490.86
  6. Step 6: Final answer
    x = 291,200.51

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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.