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Finding the Fourth Proportional to 369,969.26, 510,369.50 and 224,736.51

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Solution

The fourth proportional to 369,969.26, 510,369.50 and 224,736.51 is: 310,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,969.26 : 510,369.50 = 224,736.51 : x
  2. Step 2: Convert to fraction form
    369,969.26/510,369.50 = 224,736.51/x
  3. Step 3: Cross multiply
    369,969.26x = 510,369.50 × 224,736.51
  4. Step 4: Simplify right side
    369,969.26x = 114,698,660,240.45
  5. Step 5: Solve for x
    x = 114,698,660,240.45/369,969.26
  6. Step 6: Final answer
    x = 310,022.14

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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.