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Finding the Fourth Proportional to 546,357.35, 819,339.21 and 230,838.86

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Solution

The fourth proportional to 546,357.35, 819,339.21 and 230,838.86 is: 346,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,357.35 : 819,339.21 = 230,838.86 : x
  2. Step 2: Convert to fraction form
    546,357.35/819,339.21 = 230,838.86/x
  3. Step 3: Cross multiply
    546,357.35x = 819,339.21 × 230,838.86
  4. Step 4: Simplify right side
    546,357.35x = 189,135,331,238.05
  5. Step 5: Solve for x
    x = 189,135,331,238.05/546,357.35
  6. Step 6: Final answer
    x = 346,175.14

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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.