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Finding the Fourth Proportional to 524,183.98, 723,078.33 and 314,578.29

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Solution

The fourth proportional to 524,183.98, 723,078.33 and 314,578.29 is: 433,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,183.98 : 723,078.33 = 314,578.29 : x
  2. Step 2: Convert to fraction form
    524,183.98/723,078.33 = 314,578.29/x
  3. Step 3: Cross multiply
    524,183.98x = 723,078.33 × 314,578.29
  4. Step 4: Simplify right side
    524,183.98x = 227,464,746,324.01
  5. Step 5: Solve for x
    x = 227,464,746,324.01/524,183.98
  6. Step 6: Final answer
    x = 433,940.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.