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Finding the Fourth Proportional to 546,847.97, 754,592.92 and 301,828.22

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Solution

The fourth proportional to 546,847.97, 754,592.92 and 301,828.22 is: 416,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,847.97 : 754,592.92 = 301,828.22 : x
  2. Step 2: Convert to fraction form
    546,847.97/754,592.92 = 301,828.22/x
  3. Step 3: Cross multiply
    546,847.97x = 754,592.92 × 301,828.22
  4. Step 4: Simplify right side
    546,847.97x = 227,757,437,868.20
  5. Step 5: Solve for x
    x = 227,757,437,868.20/546,847.97
  6. Step 6: Final answer
    x = 416,491.33

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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.