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Finding the Fourth Proportional to 493,897.50, 681,578.55 and 267,543

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Solution

The fourth proportional to 493,897.50, 681,578.55 and 267,543 is: 369,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,897.50 : 681,578.55 = 267,543 : x
  2. Step 2: Convert to fraction form
    493,897.50/681,578.55 = 267,543/x
  3. Step 3: Cross multiply
    493,897.50x = 681,578.55 × 267,543
  4. Step 4: Simplify right side
    493,897.50x = 182,351,570,002.65
  5. Step 5: Solve for x
    x = 182,351,570,002.65/493,897.50
  6. Step 6: Final answer
    x = 369,209.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.