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Finding the Fourth Proportional to 295,466.89, 409,391.06 and 289,082.22

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Solution

The fourth proportional to 295,466.89, 409,391.06 and 289,082.22 is: 400,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,466.89 : 409,391.06 = 289,082.22 : x
  2. Step 2: Convert to fraction form
    295,466.89/409,391.06 = 289,082.22/x
  3. Step 3: Cross multiply
    295,466.89x = 409,391.06 × 289,082.22
  4. Step 4: Simplify right side
    295,466.89x = 118,347,675,118.41
  5. Step 5: Solve for x
    x = 118,347,675,118.41/295,466.89
  6. Step 6: Final answer
    x = 400,544.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.