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Finding the Fourth Proportional to 470,562.24, 705,874.08 and 344,579.52

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Solution

The fourth proportional to 470,562.24, 705,874.08 and 344,579.52 is: 516,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,562.24 : 705,874.08 = 344,579.52 : x
  2. Step 2: Convert to fraction form
    470,562.24/705,874.08 = 344,579.52/x
  3. Step 3: Cross multiply
    470,562.24x = 705,874.08 × 344,579.52
  4. Step 4: Simplify right side
    470,562.24x = 243,229,751,666.84
  5. Step 5: Solve for x
    x = 243,229,751,666.84/470,562.24
  6. Step 6: Final answer
    x = 516,891.78

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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.