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Finding the Fourth Proportional to 546,333.10, 753,848.31 and 304,562.68

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Solution

The fourth proportional to 546,333.10, 753,848.31 and 304,562.68 is: 420,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,333.10 : 753,848.31 = 304,562.68 : x
  2. Step 2: Convert to fraction form
    546,333.10/753,848.31 = 304,562.68/x
  3. Step 3: Cross multiply
    546,333.10x = 753,848.31 × 304,562.68
  4. Step 4: Simplify right side
    546,333.10x = 229,594,061,607.07
  5. Step 5: Solve for x
    x = 229,594,061,607.07/546,333.10
  6. Step 6: Final answer
    x = 420,245.56

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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.