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Finding the Fourth Proportional to 520,063.70, 778,540.35 and 309,593.30

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Solution

The fourth proportional to 520,063.70, 778,540.35 and 309,593.30 is: 463,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,063.70 : 778,540.35 = 309,593.30 : x
  2. Step 2: Convert to fraction form
    520,063.70/778,540.35 = 309,593.30/x
  3. Step 3: Cross multiply
    520,063.70x = 778,540.35 × 309,593.30
  4. Step 4: Simplify right side
    520,063.70x = 241,030,876,139.66
  5. Step 5: Solve for x
    x = 241,030,876,139.66/520,063.70
  6. Step 6: Final answer
    x = 463,464.14

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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.