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Finding the Fourth Proportional to 411,945.60, 577,968 and 411,945.60

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Solution

The fourth proportional to 411,945.60, 577,968 and 411,945.60 is: 577,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,945.60 : 577,968 = 411,945.60 : x
  2. Step 2: Convert to fraction form
    411,945.60/577,968 = 411,945.60/x
  3. Step 3: Cross multiply
    411,945.60x = 577,968 × 411,945.60
  4. Step 4: Simplify right side
    411,945.60x = 238,091,374,540.80
  5. Step 5: Solve for x
    x = 238,091,374,540.80/411,945.60
  6. Step 6: Final answer
    x = 577,968

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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.