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Finding the Fourth Proportional to 469,540.02, 647,451.71 and 348,905.10

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Solution

The fourth proportional to 469,540.02, 647,451.71 and 348,905.10 is: 481,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,540.02 : 647,451.71 = 348,905.10 : x
  2. Step 2: Convert to fraction form
    469,540.02/647,451.71 = 348,905.10/x
  3. Step 3: Cross multiply
    469,540.02x = 647,451.71 × 348,905.10
  4. Step 4: Simplify right side
    469,540.02x = 225,899,201,878.20
  5. Step 5: Solve for x
    x = 225,899,201,878.20/469,540.02
  6. Step 6: Final answer
    x = 481,107.45

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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.