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Finding the Fourth Proportional to 469,513.97, 704,362.26 and 199,639.01

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Solution

The fourth proportional to 469,513.97, 704,362.26 and 199,639.01 is: 299,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,513.97 : 704,362.26 = 199,639.01 : x
  2. Step 2: Convert to fraction form
    469,513.97/704,362.26 = 199,639.01/x
  3. Step 3: Cross multiply
    469,513.97x = 704,362.26 × 199,639.01
  4. Step 4: Simplify right side
    469,513.97x = 140,618,186,777.32
  5. Step 5: Solve for x
    x = 140,618,186,777.32/469,513.97
  6. Step 6: Final answer
    x = 299,497.34

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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.