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Finding the Fourth Proportional to 586,100.65, 879,169.24 and 201,845.56

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Solution

The fourth proportional to 586,100.65, 879,169.24 and 201,845.56 is: 302,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,100.65 : 879,169.24 = 201,845.56 : x
  2. Step 2: Convert to fraction form
    586,100.65/879,169.24 = 201,845.56/x
  3. Step 3: Cross multiply
    586,100.65x = 879,169.24 × 201,845.56
  4. Step 4: Simplify right side
    586,100.65x = 177,456,407,582.57
  5. Step 5: Solve for x
    x = 177,456,407,582.57/586,100.65
  6. Step 6: Final answer
    x = 302,774.63

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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.