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Finding the Fourth Proportional to 411,688.80, 617,590.80 and 175,029.60

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Solution

The fourth proportional to 411,688.80, 617,590.80 and 175,029.60 is: 262,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,688.80 : 617,590.80 = 175,029.60 : x
  2. Step 2: Convert to fraction form
    411,688.80/617,590.80 = 175,029.60/x
  3. Step 3: Cross multiply
    411,688.80x = 617,590.80 × 175,029.60
  4. Step 4: Simplify right side
    411,688.80x = 108,096,670,687.68
  5. Step 5: Solve for x
    x = 108,096,670,687.68/411,688.80
  6. Step 6: Final answer
    x = 262,568.89

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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.