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Finding the Fourth Proportional to 298,974.34, 412,587.81 and 163,007.18

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Solution

The fourth proportional to 298,974.34, 412,587.81 and 163,007.18 is: 224,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,974.34 : 412,587.81 = 163,007.18 : x
  2. Step 2: Convert to fraction form
    298,974.34/412,587.81 = 163,007.18/x
  3. Step 3: Cross multiply
    298,974.34x = 412,587.81 × 163,007.18
  4. Step 4: Simplify right side
    298,974.34x = 67,254,775,410.48
  5. Step 5: Solve for x
    x = 67,254,775,410.48/298,974.34
  6. Step 6: Final answer
    x = 224,951.67

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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.