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Finding the Fourth Proportional to 433,147.54, 649,285 and 180,567.76

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Solution

The fourth proportional to 433,147.54, 649,285 and 180,567.76 is: 270,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,147.54 : 649,285 = 180,567.76 : x
  2. Step 2: Convert to fraction form
    433,147.54/649,285 = 180,567.76/x
  3. Step 3: Cross multiply
    433,147.54x = 649,285 × 180,567.76
  4. Step 4: Simplify right side
    433,147.54x = 117,239,938,051.60
  5. Step 5: Solve for x
    x = 117,239,938,051.60/433,147.54
  6. Step 6: Final answer
    x = 270,669.75

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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.