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Finding the Fourth Proportional to 463,563.36, 695,637.54 and 197,323.44

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Solution

The fourth proportional to 463,563.36, 695,637.54 and 197,323.44 is: 296,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,563.36 : 695,637.54 = 197,323.44 : x
  2. Step 2: Convert to fraction form
    463,563.36/695,637.54 = 197,323.44/x
  3. Step 3: Cross multiply
    463,563.36x = 695,637.54 × 197,323.44
  4. Step 4: Simplify right side
    463,563.36x = 137,265,592,385.94
  5. Step 5: Solve for x
    x = 137,265,592,385.94/463,563.36
  6. Step 6: Final answer
    x = 296,109.67

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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.