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Finding the Fourth Proportional to 386,955.06, 533,968.68 and 217,156.38

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Solution

The fourth proportional to 386,955.06, 533,968.68 and 217,156.38 is: 299,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,955.06 : 533,968.68 = 217,156.38 : x
  2. Step 2: Convert to fraction form
    386,955.06/533,968.68 = 217,156.38/x
  3. Step 3: Cross multiply
    386,955.06x = 533,968.68 × 217,156.38
  4. Step 4: Simplify right side
    386,955.06x = 115,954,705,582.18
  5. Step 5: Solve for x
    x = 115,954,705,582.18/386,955.06
  6. Step 6: Final answer
    x = 299,659.36

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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.