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Finding the Fourth Proportional to 546,846.97, 754,591.55 and 301,827.22

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Solution

The fourth proportional to 546,846.97, 754,591.55 and 301,827.22 is: 416,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,846.97 : 754,591.55 = 301,827.22 : x
  2. Step 2: Convert to fraction form
    546,846.97/754,591.55 = 301,827.22/x
  3. Step 3: Cross multiply
    546,846.97x = 754,591.55 × 301,827.22
  4. Step 4: Simplify right side
    546,846.97x = 227,756,271,682.10
  5. Step 5: Solve for x
    x = 227,756,271,682.10/546,846.97
  6. Step 6: Final answer
    x = 416,489.96

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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.