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Finding the Fourth Proportional to 510,829.58, 765,063.33 and 493,114.88

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Solution

The fourth proportional to 510,829.58, 765,063.33 and 493,114.88 is: 738,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,829.58 : 765,063.33 = 493,114.88 : x
  2. Step 2: Convert to fraction form
    510,829.58/765,063.33 = 493,114.88/x
  3. Step 3: Cross multiply
    510,829.58x = 765,063.33 × 493,114.88
  4. Step 4: Simplify right side
    510,829.58x = 377,264,108,340.03
  5. Step 5: Solve for x
    x = 377,264,108,340.03/510,829.58
  6. Step 6: Final answer
    x = 738,532.24

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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.