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Finding the Fourth Proportional to 546,367.83, 819,084.29 and 209,650.12

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Solution

The fourth proportional to 546,367.83, 819,084.29 and 209,650.12 is: 314,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,367.83 : 819,084.29 = 209,650.12 : x
  2. Step 2: Convert to fraction form
    546,367.83/819,084.29 = 209,650.12/x
  3. Step 3: Cross multiply
    546,367.83x = 819,084.29 × 209,650.12
  4. Step 4: Simplify right side
    546,367.83x = 171,721,116,592.65
  5. Step 5: Solve for x
    x = 171,721,116,592.65/546,367.83
  6. Step 6: Final answer
    x = 314,295.81

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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.