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Finding the Fourth Proportional to 614,058.24, 920,901.60 and 214,624.56

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Solution

The fourth proportional to 614,058.24, 920,901.60 and 214,624.56 is: 321,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,058.24 : 920,901.60 = 214,624.56 : x
  2. Step 2: Convert to fraction form
    614,058.24/920,901.60 = 214,624.56/x
  3. Step 3: Cross multiply
    614,058.24x = 920,901.60 × 214,624.56
  4. Step 4: Simplify right side
    614,058.24x = 197,648,100,703.30
  5. Step 5: Solve for x
    x = 197,648,100,703.30/614,058.24
  6. Step 6: Final answer
    x = 321,871.91

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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.