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Finding the Fourth Proportional to 288,998.72, 433,622.64 and 120,552.22

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Solution

The fourth proportional to 288,998.72, 433,622.64 and 120,552.22 is: 180,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,998.72 : 433,622.64 = 120,552.22 : x
  2. Step 2: Convert to fraction form
    288,998.72/433,622.64 = 120,552.22/x
  3. Step 3: Cross multiply
    288,998.72x = 433,622.64 × 120,552.22
  4. Step 4: Simplify right side
    288,998.72x = 52,274,173,768.87
  5. Step 5: Solve for x
    x = 52,274,173,768.87/288,998.72
  6. Step 6: Final answer
    x = 180,880.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.