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Finding the Fourth Proportional to 314,592.06, 434,231.91 and 214,048.38

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Solution

The fourth proportional to 314,592.06, 434,231.91 and 214,048.38 is: 295,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,592.06 : 434,231.91 = 214,048.38 : x
  2. Step 2: Convert to fraction form
    314,592.06/434,231.91 = 214,048.38/x
  3. Step 3: Cross multiply
    314,592.06x = 434,231.91 × 214,048.38
  4. Step 4: Simplify right side
    314,592.06x = 92,946,636,879.81
  5. Step 5: Solve for x
    x = 92,946,636,879.81/314,592.06
  6. Step 6: Final answer
    x = 295,451.31

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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.