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Finding the Fourth Proportional to 342,912.41, 514,029.75 and 162,681.42

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Solution

The fourth proportional to 342,912.41, 514,029.75 and 162,681.42 is: 243,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,912.41 : 514,029.75 = 162,681.42 : x
  2. Step 2: Convert to fraction form
    342,912.41/514,029.75 = 162,681.42/x
  3. Step 3: Cross multiply
    342,912.41x = 514,029.75 × 162,681.42
  4. Step 4: Simplify right side
    342,912.41x = 83,623,089,652.25
  5. Step 5: Solve for x
    x = 83,623,089,652.25/342,912.41
  6. Step 6: Final answer
    x = 243,861.37

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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.