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Finding the Fourth Proportional to 289,406.20, 433,763.70 and 120,926.20

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Solution

The fourth proportional to 289,406.20, 433,763.70 and 120,926.20 is: 181,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,406.20 : 433,763.70 = 120,926.20 : x
  2. Step 2: Convert to fraction form
    289,406.20/433,763.70 = 120,926.20/x
  3. Step 3: Cross multiply
    289,406.20x = 433,763.70 × 120,926.20
  4. Step 4: Simplify right side
    289,406.20x = 52,453,395,938.94
  5. Step 5: Solve for x
    x = 52,453,395,938.94/289,406.20
  6. Step 6: Final answer
    x = 181,244.89

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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.