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Finding the Fourth Proportional to 419,767.16, 579,290.82 and 228,792.92

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Solution

The fourth proportional to 419,767.16, 579,290.82 and 228,792.92 is: 315,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,767.16 : 579,290.82 = 228,792.92 : x
  2. Step 2: Convert to fraction form
    419,767.16/579,290.82 = 228,792.92/x
  3. Step 3: Cross multiply
    419,767.16x = 579,290.82 × 228,792.92
  4. Step 4: Simplify right side
    419,767.16x = 132,537,638,236.99
  5. Step 5: Solve for x
    x = 132,537,638,236.99/419,767.16
  6. Step 6: Final answer
    x = 315,740.85

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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.