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Finding the Fourth Proportional to 288,266.94, 397,778.20 and 167,384.67

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Solution

The fourth proportional to 288,266.94, 397,778.20 and 167,384.67 is: 230,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,266.94 : 397,778.20 = 167,384.67 : x
  2. Step 2: Convert to fraction form
    288,266.94/397,778.20 = 167,384.67/x
  3. Step 3: Cross multiply
    288,266.94x = 397,778.20 × 167,384.67
  4. Step 4: Simplify right side
    288,266.94x = 66,581,972,740.19
  5. Step 5: Solve for x
    x = 66,581,972,740.19/288,266.94
  6. Step 6: Final answer
    x = 230,973.32

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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.