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Finding the Fourth Proportional to 357,638.82, 493,336.32 and 223,269.54

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Solution

The fourth proportional to 357,638.82, 493,336.32 and 223,269.54 is: 307,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,638.82 : 493,336.32 = 223,269.54 : x
  2. Step 2: Convert to fraction form
    357,638.82/493,336.32 = 223,269.54/x
  3. Step 3: Cross multiply
    357,638.82x = 493,336.32 × 223,269.54
  4. Step 4: Simplify right side
    357,638.82x = 110,146,973,231.69
  5. Step 5: Solve for x
    x = 110,146,973,231.69/357,638.82
  6. Step 6: Final answer
    x = 307,983.83

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1.5x scale

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.