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Finding the Fourth Proportional to 368,082.16, 552,823.08 and 228,814

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Solution

The fourth proportional to 368,082.16, 552,823.08 and 228,814 is: 343,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,082.16 : 552,823.08 = 228,814 : x
  2. Step 2: Convert to fraction form
    368,082.16/552,823.08 = 228,814/x
  3. Step 3: Cross multiply
    368,082.16x = 552,823.08 × 228,814
  4. Step 4: Simplify right side
    368,082.16x = 126,493,660,227.12
  5. Step 5: Solve for x
    x = 126,493,660,227.12/368,082.16
  6. Step 6: Final answer
    x = 343,656.05

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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.