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Finding the Fourth Proportional to 546,930.58, 819,214.89 and 533,546.14

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Solution

The fourth proportional to 546,930.58, 819,214.89 and 533,546.14 is: 799,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,930.58 : 819,214.89 = 533,546.14 : x
  2. Step 2: Convert to fraction form
    546,930.58/819,214.89 = 533,546.14/x
  3. Step 3: Cross multiply
    546,930.58x = 819,214.89 × 533,546.14
  4. Step 4: Simplify right side
    546,930.58x = 437,088,942,390.03
  5. Step 5: Solve for x
    x = 437,088,942,390.03/546,930.58
  6. Step 6: Final answer
    x = 799,167.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.