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Finding the Fourth Proportional to 546,711.30, 819,775.35 and 230,811.30

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Solution

The fourth proportional to 546,711.30, 819,775.35 and 230,811.30 is: 346,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,711.30 : 819,775.35 = 230,811.30 : x
  2. Step 2: Convert to fraction form
    546,711.30/819,775.35 = 230,811.30/x
  3. Step 3: Cross multiply
    546,711.30x = 819,775.35 × 230,811.30
  4. Step 4: Simplify right side
    546,711.30x = 189,213,414,241.46
  5. Step 5: Solve for x
    x = 189,213,414,241.46/546,711.30
  6. Step 6: Final answer
    x = 346,093.84

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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.