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Finding the Fourth Proportional to 333,838.26, 460,859.22 and 224,969.40

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Solution

The fourth proportional to 333,838.26, 460,859.22 and 224,969.40 is: 310,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,838.26 : 460,859.22 = 224,969.40 : x
  2. Step 2: Convert to fraction form
    333,838.26/460,859.22 = 224,969.40/x
  3. Step 3: Cross multiply
    333,838.26x = 460,859.22 × 224,969.40
  4. Step 4: Simplify right side
    333,838.26x = 103,679,222,207.87
  5. Step 5: Solve for x
    x = 103,679,222,207.87/333,838.26
  6. Step 6: Final answer
    x = 310,567.23

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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.