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Finding the Fourth Proportional to 510,572.37, 765,941.66 and 150,779.60

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Solution

The fourth proportional to 510,572.37, 765,941.66 and 150,779.60 is: 226,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,572.37 : 765,941.66 = 150,779.60 : x
  2. Step 2: Convert to fraction form
    510,572.37/765,941.66 = 150,779.60/x
  3. Step 3: Cross multiply
    510,572.37x = 765,941.66 × 150,779.60
  4. Step 4: Simplify right side
    510,572.37x = 115,488,379,409.94
  5. Step 5: Solve for x
    x = 115,488,379,409.94/510,572.37
  6. Step 6: Final answer
    x = 226,193.95

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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.