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Finding the Fourth Proportional to 410,924.45, 567,074.09 and 229,636.34

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Solution

The fourth proportional to 410,924.45, 567,074.09 and 229,636.34 is: 316,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,924.45 : 567,074.09 = 229,636.34 : x
  2. Step 2: Convert to fraction form
    410,924.45/567,074.09 = 229,636.34/x
  3. Step 3: Cross multiply
    410,924.45x = 567,074.09 × 229,636.34
  4. Step 4: Simplify right side
    410,924.45x = 130,220,818,536.43
  5. Step 5: Solve for x
    x = 130,220,818,536.43/410,924.45
  6. Step 6: Final answer
    x = 316,897.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.