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Finding the Fourth Proportional to 463,758.63, 695,900.97 and 197,491.38

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Solution

The fourth proportional to 463,758.63, 695,900.97 and 197,491.38 is: 296,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,758.63 : 695,900.97 = 197,491.38 : x
  2. Step 2: Convert to fraction form
    463,758.63/695,900.97 = 197,491.38/x
  3. Step 3: Cross multiply
    463,758.63x = 695,900.97 × 197,491.38
  4. Step 4: Simplify right side
    463,758.63x = 137,434,442,908.64
  5. Step 5: Solve for x
    x = 137,434,442,908.64/463,758.63
  6. Step 6: Final answer
    x = 296,349.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.