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Finding the Fourth Proportional to 510,645.81, 765,747.15 and 173,595.93

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Solution

The fourth proportional to 510,645.81, 765,747.15 and 173,595.93 is: 260,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,645.81 : 765,747.15 = 173,595.93 : x
  2. Step 2: Convert to fraction form
    510,645.81/765,747.15 = 173,595.93/x
  3. Step 3: Cross multiply
    510,645.81x = 765,747.15 × 173,595.93
  4. Step 4: Simplify right side
    510,645.81x = 132,930,588,649.10
  5. Step 5: Solve for x
    x = 132,930,588,649.10/510,645.81
  6. Step 6: Final answer
    x = 260,318.57

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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.