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Finding the Fourth Proportional to 470,069.34, 704,954.43 and 154,453.38

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Solution

The fourth proportional to 470,069.34, 704,954.43 and 154,453.38 is: 231,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,069.34 : 704,954.43 = 154,453.38 : x
  2. Step 2: Convert to fraction form
    470,069.34/704,954.43 = 154,453.38/x
  3. Step 3: Cross multiply
    470,069.34x = 704,954.43 × 154,453.38
  4. Step 4: Simplify right side
    470,069.34x = 108,882,594,459.47
  5. Step 5: Solve for x
    x = 108,882,594,459.47/470,069.34
  6. Step 6: Final answer
    x = 231,630.92

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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.