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Finding the Fourth Proportional to 405,039.40, 607,559.10 and 194,626.60

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Solution

The fourth proportional to 405,039.40, 607,559.10 and 194,626.60 is: 291,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,039.40 : 607,559.10 = 194,626.60 : x
  2. Step 2: Convert to fraction form
    405,039.40/607,559.10 = 194,626.60/x
  3. Step 3: Cross multiply
    405,039.40x = 607,559.10 × 194,626.60
  4. Step 4: Simplify right side
    405,039.40x = 118,247,161,932.06
  5. Step 5: Solve for x
    x = 118,247,161,932.06/405,039.40
  6. Step 6: Final answer
    x = 291,939.90

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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.