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Finding the Fourth Proportional to 293,492.90, 440,412.15 and 106,523.30

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Solution

The fourth proportional to 293,492.90, 440,412.15 and 106,523.30 is: 159,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,492.90 : 440,412.15 = 106,523.30 : x
  2. Step 2: Convert to fraction form
    293,492.90/440,412.15 = 106,523.30/x
  3. Step 3: Cross multiply
    293,492.90x = 440,412.15 × 106,523.30
  4. Step 4: Simplify right side
    293,492.90x = 46,914,155,578.10
  5. Step 5: Solve for x
    x = 46,914,155,578.10/293,492.90
  6. Step 6: Final answer
    x = 159,847.67

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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.