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Finding the Fourth Proportional to 474,056, 711,084 and 123,848

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Solution

The fourth proportional to 474,056, 711,084 and 123,848 is: 185,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,056 : 711,084 = 123,848 : x
  2. Step 2: Convert to fraction form
    474,056/711,084 = 123,848/x
  3. Step 3: Cross multiply
    474,056x = 711,084 × 123,848
  4. Step 4: Simplify right side
    474,056x = 88,066,331,232
  5. Step 5: Solve for x
    x = 88,066,331,232/474,056
  6. Step 6: Final answer
    x = 185,772

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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.