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Finding the Fourth Proportional to 325,270.72, 448,859.04 and 180,082

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Solution

The fourth proportional to 325,270.72, 448,859.04 and 180,082 is: 248,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,270.72 : 448,859.04 = 180,082 : x
  2. Step 2: Convert to fraction form
    325,270.72/448,859.04 = 180,082/x
  3. Step 3: Cross multiply
    325,270.72x = 448,859.04 × 180,082
  4. Step 4: Simplify right side
    325,270.72x = 80,831,433,641.28
  5. Step 5: Solve for x
    x = 80,831,433,641.28/325,270.72
  6. Step 6: Final answer
    x = 248,505.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.