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Finding the Fourth Proportional to 265,738.33, 366,493.27 and 224,547.13

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Solution

The fourth proportional to 265,738.33, 366,493.27 and 224,547.13 is: 309,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738.33 : 366,493.27 = 224,547.13 : x
  2. Step 2: Convert to fraction form
    265,738.33/366,493.27 = 224,547.13/x
  3. Step 3: Cross multiply
    265,738.33x = 366,493.27 × 224,547.13
  4. Step 4: Simplify right side
    265,738.33x = 82,295,011,942.82
  5. Step 5: Solve for x
    x = 82,295,011,942.82/265,738.33
  6. Step 6: Final answer
    x = 309,684.39

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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.