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Finding the Fourth Proportional to 411,942.60, 577,963.80 and 411,942.60

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Solution

The fourth proportional to 411,942.60, 577,963.80 and 411,942.60 is: 577,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,942.60 : 577,963.80 = 411,942.60 : x
  2. Step 2: Convert to fraction form
    411,942.60/577,963.80 = 411,942.60/x
  3. Step 3: Cross multiply
    411,942.60x = 577,963.80 × 411,942.60
  4. Step 4: Simplify right side
    411,942.60x = 238,087,910,477.88
  5. Step 5: Solve for x
    x = 238,087,910,477.88/411,942.60
  6. Step 6: Final answer
    x = 577,963.80

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1.5x scale

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.