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Finding the Fourth Proportional to 288,728.84, 433,180.74 and 130,914.92

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Solution

The fourth proportional to 288,728.84, 433,180.74 and 130,914.92 is: 196,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,728.84 : 433,180.74 = 130,914.92 : x
  2. Step 2: Convert to fraction form
    288,728.84/433,180.74 = 130,914.92/x
  3. Step 3: Cross multiply
    288,728.84x = 433,180.74 × 130,914.92
  4. Step 4: Simplify right side
    288,728.84x = 56,709,821,922.64
  5. Step 5: Solve for x
    x = 56,709,821,922.64/288,728.84
  6. Step 6: Final answer
    x = 196,412.05

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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.