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Finding the Fourth Proportional to 492,014.40, 738,021.60 and 341,937.60

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Solution

The fourth proportional to 492,014.40, 738,021.60 and 341,937.60 is: 512,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,014.40 : 738,021.60 = 341,937.60 : x
  2. Step 2: Convert to fraction form
    492,014.40/738,021.60 = 341,937.60/x
  3. Step 3: Cross multiply
    492,014.40x = 738,021.60 × 341,937.60
  4. Step 4: Simplify right side
    492,014.40x = 252,357,334,652.16
  5. Step 5: Solve for x
    x = 252,357,334,652.16/492,014.40
  6. Step 6: Final answer
    x = 512,906.40

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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.