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Finding the Fourth Proportional to 768,683.60, 1,153,025.40 and 342,218.60

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Solution

The fourth proportional to 768,683.60, 1,153,025.40 and 342,218.60 is: 513,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,683.60 : 1,153,025.40 = 342,218.60 : x
  2. Step 2: Convert to fraction form
    768,683.60/1,153,025.40 = 342,218.60/x
  3. Step 3: Cross multiply
    768,683.60x = 1,153,025.40 × 342,218.60
  4. Step 4: Simplify right side
    768,683.60x = 394,586,738,152.44
  5. Step 5: Solve for x
    x = 394,586,738,152.44/768,683.60
  6. Step 6: Final answer
    x = 513,327.90

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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.