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Finding the Fourth Proportional to 411,992.60, 578,033.80 and 411,992.60

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Solution

The fourth proportional to 411,992.60, 578,033.80 and 411,992.60 is: 578,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,992.60 : 578,033.80 = 411,992.60 : x
  2. Step 2: Convert to fraction form
    411,992.60/578,033.80 = 411,992.60/x
  3. Step 3: Cross multiply
    411,992.60x = 578,033.80 × 411,992.60
  4. Step 4: Simplify right side
    411,992.60x = 238,145,648,149.88
  5. Step 5: Solve for x
    x = 238,145,648,149.88/411,992.60
  6. Step 6: Final answer
    x = 578,033.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.