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Finding the Fourth Proportional to 509,493.20, 764,045.40 and 154,389.20

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Solution

The fourth proportional to 509,493.20, 764,045.40 and 154,389.20 is: 231,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,493.20 : 764,045.40 = 154,389.20 : x
  2. Step 2: Convert to fraction form
    509,493.20/764,045.40 = 154,389.20/x
  3. Step 3: Cross multiply
    509,493.20x = 764,045.40 × 154,389.20
  4. Step 4: Simplify right side
    509,493.20x = 117,960,358,069.68
  5. Step 5: Solve for x
    x = 117,960,358,069.68/509,493.20
  6. Step 6: Final answer
    x = 231,524.89

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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.