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Finding the Fourth Proportional to 470,007.40, 704,868.54 and 133,021.48

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Solution

The fourth proportional to 470,007.40, 704,868.54 and 133,021.48 is: 199,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,007.40 : 704,868.54 = 133,021.48 : x
  2. Step 2: Convert to fraction form
    470,007.40/704,868.54 = 133,021.48/x
  3. Step 3: Cross multiply
    470,007.40x = 704,868.54 × 133,021.48
  4. Step 4: Simplify right side
    470,007.40x = 93,762,656,396.24
  5. Step 5: Solve for x
    x = 93,762,656,396.24/470,007.40
  6. Step 6: Final answer
    x = 199,491.87

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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.