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Finding the Fourth Proportional to 339,409.80, 509,114.70 and 173,176.20

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Solution

The fourth proportional to 339,409.80, 509,114.70 and 173,176.20 is: 259,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,409.80 : 509,114.70 = 173,176.20 : x
  2. Step 2: Convert to fraction form
    339,409.80/509,114.70 = 173,176.20/x
  3. Step 3: Cross multiply
    339,409.80x = 509,114.70 × 173,176.20
  4. Step 4: Simplify right side
    339,409.80x = 88,166,549,110.14
  5. Step 5: Solve for x
    x = 88,166,549,110.14/339,409.80
  6. Step 6: Final answer
    x = 259,764.30

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1.5x scale

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.