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Finding the Fourth Proportional to 490,719.89, 677,204.37 and 299,838.53

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Solution

The fourth proportional to 490,719.89, 677,204.37 and 299,838.53 is: 413,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,719.89 : 677,204.37 = 299,838.53 : x
  2. Step 2: Convert to fraction form
    490,719.89/677,204.37 = 299,838.53/x
  3. Step 3: Cross multiply
    490,719.89x = 677,204.37 × 299,838.53
  4. Step 4: Simplify right side
    490,719.89x = 203,051,962,810.38
  5. Step 5: Solve for x
    x = 203,051,962,810.38/490,719.89
  6. Step 6: Final answer
    x = 413,783.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.