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Finding the Fourth Proportional to 923,906, 1,274,990.28 and 499,970

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Solution

The fourth proportional to 923,906, 1,274,990.28 and 499,970 is: 689,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,906 : 1,274,990.28 = 499,970 : x
  2. Step 2: Convert to fraction form
    923,906/1,274,990.28 = 499,970/x
  3. Step 3: Cross multiply
    923,906x = 1,274,990.28 × 499,970
  4. Step 4: Simplify right side
    923,906x = 637,456,890,291.60
  5. Step 5: Solve for x
    x = 637,456,890,291.60/923,906
  6. Step 6: Final answer
    x = 689,958.60

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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.