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Finding the Fourth Proportional to 682,114.37, 941,384.36 and 509,733

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Solution

The fourth proportional to 682,114.37, 941,384.36 and 509,733 is: 703,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,114.37 : 941,384.36 = 509,733 : x
  2. Step 2: Convert to fraction form
    682,114.37/941,384.36 = 509,733/x
  3. Step 3: Cross multiply
    682,114.37x = 941,384.36 × 509,733
  4. Step 4: Simplify right side
    682,114.37x = 479,854,671,427.22
  5. Step 5: Solve for x
    x = 479,854,671,427.22/682,114.37
  6. Step 6: Final answer
    x = 703,481.26

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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.