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Finding the Fourth Proportional to 323,907.42, 446,992.92 and 180,663.78

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Solution

The fourth proportional to 323,907.42, 446,992.92 and 180,663.78 is: 249,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,907.42 : 446,992.92 = 180,663.78 : x
  2. Step 2: Convert to fraction form
    323,907.42/446,992.92 = 180,663.78/x
  3. Step 3: Cross multiply
    323,907.42x = 446,992.92 × 180,663.78
  4. Step 4: Simplify right side
    323,907.42x = 80,755,430,560.44
  5. Step 5: Solve for x
    x = 80,755,430,560.44/323,907.42
  6. Step 6: Final answer
    x = 249,316.40

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1.5x scale

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.