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Finding the Fourth Proportional to 329,206.01, 493,773.11 and 223,270.46

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Solution

The fourth proportional to 329,206.01, 493,773.11 and 223,270.46 is: 334,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,206.01 : 493,773.11 = 223,270.46 : x
  2. Step 2: Convert to fraction form
    329,206.01/493,773.11 = 223,270.46/x
  3. Step 3: Cross multiply
    329,206.01x = 493,773.11 × 223,270.46
  4. Step 4: Simplify right side
    329,206.01x = 110,244,949,764.92
  5. Step 5: Solve for x
    x = 110,244,949,764.92/329,206.01
  6. Step 6: Final answer
    x = 334,881.35

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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.