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Finding the Fourth Proportional to 412,791.58, 569,657.14 and 229,033.60

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Solution

The fourth proportional to 412,791.58, 569,657.14 and 229,033.60 is: 316,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,791.58 : 569,657.14 = 229,033.60 : x
  2. Step 2: Convert to fraction form
    412,791.58/569,657.14 = 229,033.60/x
  3. Step 3: Cross multiply
    412,791.58x = 569,657.14 × 229,033.60
  4. Step 4: Simplify right side
    412,791.58x = 130,470,625,539.90
  5. Step 5: Solve for x
    x = 130,470,625,539.90/412,791.58
  6. Step 6: Final answer
    x = 316,069.01

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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.