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Finding the Fourth Proportional to 409,950.41, 565,732.55 and 228,674.03

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Solution

The fourth proportional to 409,950.41, 565,732.55 and 228,674.03 is: 315,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,950.41 : 565,732.55 = 228,674.03 : x
  2. Step 2: Convert to fraction form
    409,950.41/565,732.55 = 228,674.03/x
  3. Step 3: Cross multiply
    409,950.41x = 565,732.55 × 228,674.03
  4. Step 4: Simplify right side
    409,950.41x = 129,368,339,853.70
  5. Step 5: Solve for x
    x = 129,368,339,853.70/409,950.41
  6. Step 6: Final answer
    x = 315,570.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.