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Finding the Fourth Proportional to 416,478.16, 624,974.28 and 163,714.42

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Solution

The fourth proportional to 416,478.16, 624,974.28 and 163,714.42 is: 245,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,478.16 : 624,974.28 = 163,714.42 : x
  2. Step 2: Convert to fraction form
    416,478.16/624,974.28 = 163,714.42/x
  3. Step 3: Cross multiply
    416,478.16x = 624,974.28 × 163,714.42
  4. Step 4: Simplify right side
    416,478.16x = 102,317,301,765.12
  5. Step 5: Solve for x
    x = 102,317,301,765.12/416,478.16
  6. Step 6: Final answer
    x = 245,672.67

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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.