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Finding the Fourth Proportional to 507,069.15, 699,727.68 and 277,582.05

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Solution

The fourth proportional to 507,069.15, 699,727.68 and 277,582.05 is: 383,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,069.15 : 699,727.68 = 277,582.05 : x
  2. Step 2: Convert to fraction form
    507,069.15/699,727.68 = 277,582.05/x
  3. Step 3: Cross multiply
    507,069.15x = 699,727.68 × 277,582.05
  4. Step 4: Simplify right side
    507,069.15x = 194,231,843,856.14
  5. Step 5: Solve for x
    x = 194,231,843,856.14/507,069.15
  6. Step 6: Final answer
    x = 383,048.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.