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Finding the Fourth Proportional to 463,776.40, 695,146.20 and 197,491.60

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Solution

The fourth proportional to 463,776.40, 695,146.20 and 197,491.60 is: 296,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,776.40 : 695,146.20 = 197,491.60 : x
  2. Step 2: Convert to fraction form
    463,776.40/695,146.20 = 197,491.60/x
  3. Step 3: Cross multiply
    463,776.40x = 695,146.20 × 197,491.60
  4. Step 4: Simplify right side
    463,776.40x = 137,285,535,271.92
  5. Step 5: Solve for x
    x = 137,285,535,271.92/463,776.40
  6. Step 6: Final answer
    x = 296,016.65

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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.