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Finding the Fourth Proportional to 308,718.24, 462,749.04 and 148,694.40

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Solution

The fourth proportional to 308,718.24, 462,749.04 and 148,694.40 is: 222,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,718.24 : 462,749.04 = 148,694.40 : x
  2. Step 2: Convert to fraction form
    308,718.24/462,749.04 = 148,694.40/x
  3. Step 3: Cross multiply
    308,718.24x = 462,749.04 × 148,694.40
  4. Step 4: Simplify right side
    308,718.24x = 68,808,190,853.38
  5. Step 5: Solve for x
    x = 68,808,190,853.38/308,718.24
  6. Step 6: Final answer
    x = 222,883.46

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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.