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Finding the Fourth Proportional to 520,052.70, 778,523.85 and 309,582.30

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Solution

The fourth proportional to 520,052.70, 778,523.85 and 309,582.30 is: 463,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,052.70 : 778,523.85 = 309,582.30 : x
  2. Step 2: Convert to fraction form
    520,052.70/778,523.85 = 309,582.30/x
  3. Step 3: Cross multiply
    520,052.70x = 778,523.85 × 309,582.30
  4. Step 4: Simplify right side
    520,052.70x = 241,017,204,087.86
  5. Step 5: Solve for x
    x = 241,017,204,087.86/520,052.70
  6. Step 6: Final answer
    x = 463,447.65

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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.