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Finding the Fourth Proportional to 306,048.20, 459,072.30 and 164,330.60

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Solution

The fourth proportional to 306,048.20, 459,072.30 and 164,330.60 is: 246,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,048.20 : 459,072.30 = 164,330.60 : x
  2. Step 2: Convert to fraction form
    306,048.20/459,072.30 = 164,330.60/x
  3. Step 3: Cross multiply
    306,048.20x = 459,072.30 × 164,330.60
  4. Step 4: Simplify right side
    306,048.20x = 75,439,626,502.38
  5. Step 5: Solve for x
    x = 75,439,626,502.38/306,048.20
  6. Step 6: Final answer
    x = 246,495.90

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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.