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Finding the Fourth Proportional to 410,203.49, 615,305.25 and 110,684.07

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Solution

The fourth proportional to 410,203.49, 615,305.25 and 110,684.07 is: 166,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,203.49 : 615,305.25 = 110,684.07 : x
  2. Step 2: Convert to fraction form
    410,203.49/615,305.25 = 110,684.07/x
  3. Step 3: Cross multiply
    410,203.49x = 615,305.25 × 110,684.07
  4. Step 4: Simplify right side
    410,203.49x = 68,104,489,362.37
  5. Step 5: Solve for x
    x = 68,104,489,362.37/410,203.49
  6. Step 6: Final answer
    x = 166,026.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.