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Finding the Fourth Proportional to 650,493.66, 975,833.46 and 201,252.90

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Solution

The fourth proportional to 650,493.66, 975,833.46 and 201,252.90 is: 301,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,493.66 : 975,833.46 = 201,252.90 : x
  2. Step 2: Convert to fraction form
    650,493.66/975,833.46 = 201,252.90/x
  3. Step 3: Cross multiply
    650,493.66x = 975,833.46 × 201,252.90
  4. Step 4: Simplify right side
    650,493.66x = 196,389,313,742.03
  5. Step 5: Solve for x
    x = 196,389,313,742.03/650,493.66
  6. Step 6: Final answer
    x = 301,908.11

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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.