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Finding the Fourth Proportional to 546,911.58, 754,738.13 and 301,896.49

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Solution

The fourth proportional to 546,911.58, 754,738.13 and 301,896.49 is: 416,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,911.58 : 754,738.13 = 301,896.49 : x
  2. Step 2: Convert to fraction form
    546,911.58/754,738.13 = 301,896.49/x
  3. Step 3: Cross multiply
    546,911.58x = 754,738.13 × 301,896.49
  4. Step 4: Simplify right side
    546,911.58x = 227,852,789,096.73
  5. Step 5: Solve for x
    x = 227,852,789,096.73/546,911.58
  6. Step 6: Final answer
    x = 416,617.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.