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Finding the Fourth Proportional to 308,903.10, 463,311.45 and 98,562.30

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Solution

The fourth proportional to 308,903.10, 463,311.45 and 98,562.30 is: 147,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,903.10 : 463,311.45 = 98,562.30 : x
  2. Step 2: Convert to fraction form
    308,903.10/463,311.45 = 98,562.30/x
  3. Step 3: Cross multiply
    308,903.10x = 463,311.45 × 98,562.30
  4. Step 4: Simplify right side
    308,903.10x = 45,665,042,128.34
  5. Step 5: Solve for x
    x = 45,665,042,128.34/308,903.10
  6. Step 6: Final answer
    x = 147,829.67

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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.