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Finding the Fourth Proportional to 308,733.40, 463,100.10 and 151,269.40

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Solution

The fourth proportional to 308,733.40, 463,100.10 and 151,269.40 is: 226,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,733.40 : 463,100.10 = 151,269.40 : x
  2. Step 2: Convert to fraction form
    308,733.40/463,100.10 = 151,269.40/x
  3. Step 3: Cross multiply
    308,733.40x = 463,100.10 × 151,269.40
  4. Step 4: Simplify right side
    308,733.40x = 70,052,874,266.94
  5. Step 5: Solve for x
    x = 70,052,874,266.94/308,733.40
  6. Step 6: Final answer
    x = 226,904.10

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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.