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Finding the Fourth Proportional to 409,680.84, 565,313.94 and 228,379.08

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Solution

The fourth proportional to 409,680.84, 565,313.94 and 228,379.08 is: 315,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,680.84 : 565,313.94 = 228,379.08 : x
  2. Step 2: Convert to fraction form
    409,680.84/565,313.94 = 228,379.08/x
  3. Step 3: Cross multiply
    409,680.84x = 565,313.94 × 228,379.08
  4. Step 4: Simplify right side
    409,680.84x = 129,105,877,528.38
  5. Step 5: Solve for x
    x = 129,105,877,528.38/409,680.84
  6. Step 6: Final answer
    x = 315,137.70

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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.