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Finding the Fourth Proportional to 439,465.80, 659,069.10 and 173,137.80

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Solution

The fourth proportional to 439,465.80, 659,069.10 and 173,137.80 is: 259,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,465.80 : 659,069.10 = 173,137.80 : x
  2. Step 2: Convert to fraction form
    439,465.80/659,069.10 = 173,137.80/x
  3. Step 3: Cross multiply
    439,465.80x = 659,069.10 × 173,137.80
  4. Step 4: Simplify right side
    439,465.80x = 114,109,774,021.98
  5. Step 5: Solve for x
    x = 114,109,774,021.98/439,465.80
  6. Step 6: Final answer
    x = 259,655.64

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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.