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Finding the Fourth Proportional to 416,871.12, 625,495.32 and 164,082

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Solution

The fourth proportional to 416,871.12, 625,495.32 and 164,082 is: 246,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,871.12 : 625,495.32 = 164,082 : x
  2. Step 2: Convert to fraction form
    416,871.12/625,495.32 = 164,082/x
  3. Step 3: Cross multiply
    416,871.12x = 625,495.32 × 164,082
  4. Step 4: Simplify right side
    416,871.12x = 102,632,523,096.24
  5. Step 5: Solve for x
    x = 102,632,523,096.24/416,871.12
  6. Step 6: Final answer
    x = 246,197.25

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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.