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Finding the Fourth Proportional to 288,148.47, 397,682.51 and 160,850.49

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Solution

The fourth proportional to 288,148.47, 397,682.51 and 160,850.49 is: 221,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,148.47 : 397,682.51 = 160,850.49 : x
  2. Step 2: Convert to fraction form
    288,148.47/397,682.51 = 160,850.49/x
  3. Step 3: Cross multiply
    288,148.47x = 397,682.51 × 160,850.49
  4. Step 4: Simplify right side
    288,148.47x = 63,967,425,793.68
  5. Step 5: Solve for x
    x = 63,967,425,793.68/288,148.47
  6. Step 6: Final answer
    x = 221,994.67

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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.