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Finding the Fourth Proportional to 413,880.09, 571,361.19 and 270,858.57

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Solution

The fourth proportional to 413,880.09, 571,361.19 and 270,858.57 is: 373,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,880.09 : 571,361.19 = 270,858.57 : x
  2. Step 2: Convert to fraction form
    413,880.09/571,361.19 = 270,858.57/x
  3. Step 3: Cross multiply
    413,880.09x = 571,361.19 × 270,858.57
  4. Step 4: Simplify right side
    413,880.09x = 154,758,074,876.90
  5. Step 5: Solve for x
    x = 154,758,074,876.90/413,880.09
  6. Step 6: Final answer
    x = 373,920.08

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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.