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Finding the Fourth Proportional to 308,747.16, 463,120.74 and 203,541.48

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Solution

The fourth proportional to 308,747.16, 463,120.74 and 203,541.48 is: 305,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,747.16 : 463,120.74 = 203,541.48 : x
  2. Step 2: Convert to fraction form
    308,747.16/463,120.74 = 203,541.48/x
  3. Step 3: Cross multiply
    308,747.16x = 463,120.74 × 203,541.48
  4. Step 4: Simplify right side
    308,747.16x = 94,264,280,838.30
  5. Step 5: Solve for x
    x = 94,264,280,838.30/308,747.16
  6. Step 6: Final answer
    x = 305,312.22

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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.