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Finding the Fourth Proportional to 289,160.68, 433,770.44 and 99,596.32

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Solution

The fourth proportional to 289,160.68, 433,770.44 and 99,596.32 is: 149,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,160.68 : 433,770.44 = 99,596.32 : x
  2. Step 2: Convert to fraction form
    289,160.68/433,770.44 = 99,596.32/x
  3. Step 3: Cross multiply
    289,160.68x = 433,770.44 × 99,596.32
  4. Step 4: Simplify right side
    289,160.68x = 43,201,939,548.78
  5. Step 5: Solve for x
    x = 43,201,939,548.78/289,160.68
  6. Step 6: Final answer
    x = 149,404.61

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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.