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Finding the Fourth Proportional to 923,866, 1,274,938.92 and 499,930

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Solution

The fourth proportional to 923,866, 1,274,938.92 and 499,930 is: 689,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,866 : 1,274,938.92 = 499,930 : x
  2. Step 2: Convert to fraction form
    923,866/1,274,938.92 = 499,930/x
  3. Step 3: Cross multiply
    923,866x = 1,274,938.92 × 499,930
  4. Step 4: Simplify right side
    923,866x = 637,380,214,275.60
  5. Step 5: Solve for x
    x = 637,380,214,275.60/923,866
  6. Step 6: Final answer
    x = 689,905.48

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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.