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Finding the Fourth Proportional to 546,078.48, 753,591.82 and 304,376.40

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Solution

The fourth proportional to 546,078.48, 753,591.82 and 304,376.40 is: 420,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,078.48 : 753,591.82 = 304,376.40 : x
  2. Step 2: Convert to fraction form
    546,078.48/753,591.82 = 304,376.40/x
  3. Step 3: Cross multiply
    546,078.48x = 753,591.82 × 304,376.40
  4. Step 4: Simplify right side
    546,078.48x = 229,375,565,241.05
  5. Step 5: Solve for x
    x = 229,375,565,241.05/546,078.48
  6. Step 6: Final answer
    x = 420,041.39

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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.