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Finding the Fourth Proportional to 298,593.42, 412,087.95 and 223,010.70

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Solution

The fourth proportional to 298,593.42, 412,087.95 and 223,010.70 is: 307,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,593.42 : 412,087.95 = 223,010.70 : x
  2. Step 2: Convert to fraction form
    298,593.42/412,087.95 = 223,010.70/x
  3. Step 3: Cross multiply
    298,593.42x = 412,087.95 × 223,010.70
  4. Step 4: Simplify right side
    298,593.42x = 91,900,022,191.07
  5. Step 5: Solve for x
    x = 91,900,022,191.07/298,593.42
  6. Step 6: Final answer
    x = 307,776.45

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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.