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Finding the Fourth Proportional to 923,072, 1,384,608 and 258,224

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Solution

The fourth proportional to 923,072, 1,384,608 and 258,224 is: 387,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,072 : 1,384,608 = 258,224 : x
  2. Step 2: Convert to fraction form
    923,072/1,384,608 = 258,224/x
  3. Step 3: Cross multiply
    923,072x = 1,384,608 × 258,224
  4. Step 4: Simplify right side
    923,072x = 357,539,016,192
  5. Step 5: Solve for x
    x = 357,539,016,192/923,072
  6. Step 6: Final answer
    x = 387,336

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