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Finding the Fourth Proportional to 314,223.22, 471,408.66 and 103,861.16

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Solution

The fourth proportional to 314,223.22, 471,408.66 and 103,861.16 is: 155,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,223.22 : 471,408.66 = 103,861.16 : x
  2. Step 2: Convert to fraction form
    314,223.22/471,408.66 = 103,861.16/x
  3. Step 3: Cross multiply
    314,223.22x = 471,408.66 × 103,861.16
  4. Step 4: Simplify right side
    314,223.22x = 48,961,049,742.34
  5. Step 5: Solve for x
    x = 48,961,049,742.34/314,223.22
  6. Step 6: Final answer
    x = 155,816.14

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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.