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Finding the Fourth Proportional to 410,884.94, 567,019.97 and 229,597.04

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Solution

The fourth proportional to 410,884.94, 567,019.97 and 229,597.04 is: 316,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,884.94 : 567,019.97 = 229,597.04 : x
  2. Step 2: Convert to fraction form
    410,884.94/567,019.97 = 229,597.04/x
  3. Step 3: Cross multiply
    410,884.94x = 567,019.97 × 229,597.04
  4. Step 4: Simplify right side
    410,884.94x = 130,186,106,914.44
  5. Step 5: Solve for x
    x = 130,186,106,914.44/410,884.94
  6. Step 6: Final answer
    x = 316,843.22

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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.