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Finding the Fourth Proportional to 510,449.74, 765,709.84 and 173,352.84

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Solution

The fourth proportional to 510,449.74, 765,709.84 and 173,352.84 is: 260,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,449.74 : 765,709.84 = 173,352.84 : x
  2. Step 2: Convert to fraction form
    510,449.74/765,709.84 = 173,352.84/x
  3. Step 3: Cross multiply
    510,449.74x = 765,709.84 × 173,352.84
  4. Step 4: Simplify right side
    510,449.74x = 132,737,975,379.95
  5. Step 5: Solve for x
    x = 132,737,975,379.95/510,449.74
  6. Step 6: Final answer
    x = 260,041.22

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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.