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Finding the Fourth Proportional to 298,715.95, 412,225.73 and 162,749.48

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Solution

The fourth proportional to 298,715.95, 412,225.73 and 162,749.48 is: 224,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.95 : 412,225.73 = 162,749.48 : x
  2. Step 2: Convert to fraction form
    298,715.95/412,225.73 = 162,749.48/x
  3. Step 3: Cross multiply
    298,715.95x = 412,225.73 × 162,749.48
  4. Step 4: Simplify right side
    298,715.95x = 67,089,520,325.24
  5. Step 5: Solve for x
    x = 67,089,520,325.24/298,715.95
  6. Step 6: Final answer
    x = 224,593.03

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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.