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Finding the Fourth Proportional to 392,844, 589,266 and 97,356

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Solution

The fourth proportional to 392,844, 589,266 and 97,356 is: 146,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,844 : 589,266 = 97,356 : x
  2. Step 2: Convert to fraction form
    392,844/589,266 = 97,356/x
  3. Step 3: Cross multiply
    392,844x = 589,266 × 97,356
  4. Step 4: Simplify right side
    392,844x = 57,368,580,696
  5. Step 5: Solve for x
    x = 57,368,580,696/392,844
  6. Step 6: Final answer
    x = 146,034

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.