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Finding the Fourth Proportional to 386,919, 533,949.33 and 214,837.33

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Solution

The fourth proportional to 386,919, 533,949.33 and 214,837.33 is: 296,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,919 : 533,949.33 = 214,837.33 : x
  2. Step 2: Convert to fraction form
    386,919/533,949.33 = 214,837.33/x
  3. Step 3: Cross multiply
    386,919x = 533,949.33 × 214,837.33
  4. Step 4: Simplify right side
    386,919x = 114,712,248,412.49
  5. Step 5: Solve for x
    x = 114,712,248,412.49/386,919
  6. Step 6: Final answer
    x = 296,476.13

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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.