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Finding the Fourth Proportional to 317,406.59, 476,243.44 and 197,563.78

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Solution

The fourth proportional to 317,406.59, 476,243.44 and 197,563.78 is: 296,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,406.59 : 476,243.44 = 197,563.78 : x
  2. Step 2: Convert to fraction form
    317,406.59/476,243.44 = 197,563.78/x
  3. Step 3: Cross multiply
    317,406.59x = 476,243.44 × 197,563.78
  4. Step 4: Simplify right side
    317,406.59x = 94,088,452,184.78
  5. Step 5: Solve for x
    x = 94,088,452,184.78/317,406.59
  6. Step 6: Final answer
    x = 296,428.79

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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.