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Finding the Fourth Proportional to 490,719.38, 677,203.70 and 299,838.02

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Solution

The fourth proportional to 490,719.38, 677,203.70 and 299,838.02 is: 413,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,719.38 : 677,203.70 = 299,838.02 : x
  2. Step 2: Convert to fraction form
    490,719.38/677,203.70 = 299,838.02/x
  3. Step 3: Cross multiply
    490,719.38x = 677,203.70 × 299,838.02
  4. Step 4: Simplify right side
    490,719.38x = 203,051,411,659.47
  5. Step 5: Solve for x
    x = 203,051,411,659.47/490,719.38
  6. Step 6: Final answer
    x = 413,783.16

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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.