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Finding the Fourth Proportional to 309,244.46, 463,079.10 and 203,743.58

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Solution

The fourth proportional to 309,244.46, 463,079.10 and 203,743.58 is: 305,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,244.46 : 463,079.10 = 203,743.58 : x
  2. Step 2: Convert to fraction form
    309,244.46/463,079.10 = 203,743.58/x
  3. Step 3: Cross multiply
    309,244.46x = 463,079.10 × 203,743.58
  4. Step 4: Simplify right side
    309,244.46x = 94,349,393,657.18
  5. Step 5: Solve for x
    x = 94,349,393,657.18/309,244.46
  6. Step 6: Final answer
    x = 305,096.47

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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.