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Finding the Fourth Proportional to 395,865, 546,293.70 and 217,017

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Solution

The fourth proportional to 395,865, 546,293.70 and 217,017 is: 299,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,865 : 546,293.70 = 217,017 : x
  2. Step 2: Convert to fraction form
    395,865/546,293.70 = 217,017/x
  3. Step 3: Cross multiply
    395,865x = 546,293.70 × 217,017
  4. Step 4: Simplify right side
    395,865x = 118,555,019,892.90
  5. Step 5: Solve for x
    x = 118,555,019,892.90/395,865
  6. Step 6: Final answer
    x = 299,483.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.