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Finding the Fourth Proportional to 306,853.74, 460,353 and 96,491.67

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Solution

The fourth proportional to 306,853.74, 460,353 and 96,491.67 is: 144,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,853.74 : 460,353 = 96,491.67 : x
  2. Step 2: Convert to fraction form
    306,853.74/460,353 = 96,491.67/x
  3. Step 3: Cross multiply
    306,853.74x = 460,353 × 96,491.67
  4. Step 4: Simplify right side
    306,853.74x = 44,420,229,759.51
  5. Step 5: Solve for x
    x = 44,420,229,759.51/306,853.74
  6. Step 6: Final answer
    x = 144,760.27

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1.5x scale

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.