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Finding the Fourth Proportional to 492,100.80, 736,401.60 and 341,635.20

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Solution

The fourth proportional to 492,100.80, 736,401.60 and 341,635.20 is: 511,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,100.80 : 736,401.60 = 341,635.20 : x
  2. Step 2: Convert to fraction form
    492,100.80/736,401.60 = 341,635.20/x
  3. Step 3: Cross multiply
    492,100.80x = 736,401.60 × 341,635.20
  4. Step 4: Simplify right side
    492,100.80x = 251,580,707,896.32
  5. Step 5: Solve for x
    x = 251,580,707,896.32/492,100.80
  6. Step 6: Final answer
    x = 511,238.16

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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.