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Finding the Fourth Proportional to 419,568.60, 579,002.94 and 228,581.40

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Solution

The fourth proportional to 419,568.60, 579,002.94 and 228,581.40 is: 315,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,568.60 : 579,002.94 = 228,581.40 : x
  2. Step 2: Convert to fraction form
    419,568.60/579,002.94 = 228,581.40/x
  3. Step 3: Cross multiply
    419,568.60x = 579,002.94 × 228,581.40
  4. Step 4: Simplify right side
    419,568.60x = 132,349,302,629.32
  5. Step 5: Solve for x
    x = 132,349,302,629.32/419,568.60
  6. Step 6: Final answer
    x = 315,441.39

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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.