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Finding the Fourth Proportional to 999,714, 1,380,237.12 and 617,957.76

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Solution

The fourth proportional to 999,714, 1,380,237.12 and 617,957.76 is: 853,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,714 : 1,380,237.12 = 617,957.76 : x
  2. Step 2: Convert to fraction form
    999,714/1,380,237.12 = 617,957.76/x
  3. Step 3: Cross multiply
    999,714x = 1,380,237.12 × 617,957.76
  4. Step 4: Simplify right side
    999,714x = 852,928,238,944.05
  5. Step 5: Solve for x
    x = 852,928,238,944.05/999,714
  6. Step 6: Final answer
    x = 853,172.25

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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.