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Finding the Fourth Proportional to 340,773.26, 470,347.24 and 211,809.14

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Solution

The fourth proportional to 340,773.26, 470,347.24 and 211,809.14 is: 292,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,773.26 : 470,347.24 = 211,809.14 : x
  2. Step 2: Convert to fraction form
    340,773.26/470,347.24 = 211,809.14/x
  3. Step 3: Cross multiply
    340,773.26x = 470,347.24 × 211,809.14
  4. Step 4: Simplify right side
    340,773.26x = 99,623,844,405.77
  5. Step 5: Solve for x
    x = 99,623,844,405.77/340,773.26
  6. Step 6: Final answer
    x = 292,346.43

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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.