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Finding the Fourth Proportional to 394,069.50, 543,816.54 and 224,303.63

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Solution

The fourth proportional to 394,069.50, 543,816.54 and 224,303.63 is: 309,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,069.50 : 543,816.54 = 224,303.63 : x
  2. Step 2: Convert to fraction form
    394,069.50/543,816.54 = 224,303.63/x
  3. Step 3: Cross multiply
    394,069.50x = 543,816.54 × 224,303.63
  4. Step 4: Simplify right side
    394,069.50x = 121,980,021,256.96
  5. Step 5: Solve for x
    x = 121,980,021,256.96/394,069.50
  6. Step 6: Final answer
    x = 309,539.36

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1.5x scale

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.