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Finding the Fourth Proportional to 520,052.20, 778,523.10 and 309,581.80

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Solution

The fourth proportional to 520,052.20, 778,523.10 and 309,581.80 is: 463,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,052.20 : 778,523.10 = 309,581.80 : x
  2. Step 2: Convert to fraction form
    520,052.20/778,523.10 = 309,581.80/x
  3. Step 3: Cross multiply
    520,052.20x = 778,523.10 × 309,581.80
  4. Step 4: Simplify right side
    520,052.20x = 241,016,582,639.58
  5. Step 5: Solve for x
    x = 241,016,582,639.58/520,052.20
  6. Step 6: Final answer
    x = 463,446.91

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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.