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Finding the Fourth Proportional to 463,491.60, 695,496.60 and 197,206.80

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Solution

The fourth proportional to 463,491.60, 695,496.60 and 197,206.80 is: 295,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,491.60 : 695,496.60 = 197,206.80 : x
  2. Step 2: Convert to fraction form
    463,491.60/695,496.60 = 197,206.80/x
  3. Step 3: Cross multiply
    463,491.60x = 695,496.60 × 197,206.80
  4. Step 4: Simplify right side
    463,491.60x = 137,156,658,896.88
  5. Step 5: Solve for x
    x = 137,156,658,896.88/463,491.60
  6. Step 6: Final answer
    x = 295,920.48

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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.