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Finding the Fourth Proportional to 546,814.49, 754,568.60 and 301,801.46

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Solution

The fourth proportional to 546,814.49, 754,568.60 and 301,801.46 is: 416,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,814.49 : 754,568.60 = 301,801.46 : x
  2. Step 2: Convert to fraction form
    546,814.49/754,568.60 = 301,801.46/x
  3. Step 3: Cross multiply
    546,814.49x = 754,568.60 × 301,801.46
  4. Step 4: Simplify right side
    546,814.49x = 227,729,899,868.31
  5. Step 5: Solve for x
    x = 227,729,899,868.31/546,814.49
  6. Step 6: Final answer
    x = 416,466.47

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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.