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Finding the Fourth Proportional to 514,058.70, 770,536.44 and 214,313.34

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Solution

The fourth proportional to 514,058.70, 770,536.44 and 214,313.34 is: 321,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,058.70 : 770,536.44 = 214,313.34 : x
  2. Step 2: Convert to fraction form
    514,058.70/770,536.44 = 214,313.34/x
  3. Step 3: Cross multiply
    514,058.70x = 770,536.44 × 214,313.34
  4. Step 4: Simplify right side
    514,058.70x = 165,136,238,048.11
  5. Step 5: Solve for x
    x = 165,136,238,048.11/514,058.70
  6. Step 6: Final answer
    x = 321,240.04

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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.