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Finding the Fourth Proportional to 468,416.86, 646,414.73 and 253,556.86

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Solution

The fourth proportional to 468,416.86, 646,414.73 and 253,556.86 is: 349,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,416.86 : 646,414.73 = 253,556.86 : x
  2. Step 2: Convert to fraction form
    468,416.86/646,414.73 = 253,556.86/x
  3. Step 3: Cross multiply
    468,416.86x = 646,414.73 × 253,556.86
  4. Step 4: Simplify right side
    468,416.86x = 163,902,884,696.69
  5. Step 5: Solve for x
    x = 163,902,884,696.69/468,416.86
  6. Step 6: Final answer
    x = 349,908.17

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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.