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Finding the Fourth Proportional to 546,423.44, 754,077.60 and 304,703.64

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Solution

The fourth proportional to 546,423.44, 754,077.60 and 304,703.64 is: 420,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,423.44 : 754,077.60 = 304,703.64 : x
  2. Step 2: Convert to fraction form
    546,423.44/754,077.60 = 304,703.64/x
  3. Step 3: Cross multiply
    546,423.44x = 754,077.60 × 304,703.64
  4. Step 4: Simplify right side
    546,423.44x = 229,770,189,562.46
  5. Step 5: Solve for x
    x = 229,770,189,562.46/546,423.44
  6. Step 6: Final answer
    x = 420,498.42

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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.