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Finding the Fourth Proportional to 492,099.80, 736,400.10 and 341,634.20

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Solution

The fourth proportional to 492,099.80, 736,400.10 and 341,634.20 is: 511,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,099.80 : 736,400.10 = 341,634.20 : x
  2. Step 2: Convert to fraction form
    492,099.80/736,400.10 = 341,634.20/x
  3. Step 3: Cross multiply
    492,099.80x = 736,400.10 × 341,634.20
  4. Step 4: Simplify right side
    492,099.80x = 251,579,459,043.42
  5. Step 5: Solve for x
    x = 251,579,459,043.42/492,099.80
  6. Step 6: Final answer
    x = 511,236.66

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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.