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Finding the Fourth Proportional to 409,927.70, 565,700.99 and 228,651.38

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Solution

The fourth proportional to 409,927.70, 565,700.99 and 228,651.38 is: 315,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,927.70 : 565,700.99 = 228,651.38 : x
  2. Step 2: Convert to fraction form
    409,927.70/565,700.99 = 228,651.38/x
  3. Step 3: Cross multiply
    409,927.70x = 565,700.99 × 228,651.38
  4. Step 4: Simplify right side
    409,927.70x = 129,348,312,030.87
  5. Step 5: Solve for x
    x = 129,348,312,030.87/409,927.70
  6. Step 6: Final answer
    x = 315,539.33

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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.