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Finding the Fourth Proportional to 520,050.20, 778,520.10 and 309,579.80

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Solution

The fourth proportional to 520,050.20, 778,520.10 and 309,579.80 is: 463,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,050.20 : 778,520.10 = 309,579.80 : x
  2. Step 2: Convert to fraction form
    520,050.20/778,520.10 = 309,579.80/x
  3. Step 3: Cross multiply
    520,050.20x = 778,520.10 × 309,579.80
  4. Step 4: Simplify right side
    520,050.20x = 241,014,096,853.98
  5. Step 5: Solve for x
    x = 241,014,096,853.98/520,050.20
  6. Step 6: Final answer
    x = 463,443.91

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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.