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Finding the Fourth Proportional to 546,089.94, 819,134.19 and 253,940.76

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Solution

The fourth proportional to 546,089.94, 819,134.19 and 253,940.76 is: 380,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,089.94 : 819,134.19 = 253,940.76 : x
  2. Step 2: Convert to fraction form
    546,089.94/819,134.19 = 253,940.76/x
  3. Step 3: Cross multiply
    546,089.94x = 819,134.19 × 253,940.76
  4. Step 4: Simplify right side
    546,089.94x = 208,011,558,750.58
  5. Step 5: Solve for x
    x = 208,011,558,750.58/546,089.94
  6. Step 6: Final answer
    x = 380,910.81

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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.