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Finding the Fourth Proportional to 411,486.10, 576,474.20 and 411,486.10

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Solution

The fourth proportional to 411,486.10, 576,474.20 and 411,486.10 is: 576,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,486.10 : 576,474.20 = 411,486.10 : x
  2. Step 2: Convert to fraction form
    411,486.10/576,474.20 = 411,486.10/x
  3. Step 3: Cross multiply
    411,486.10x = 576,474.20 × 411,486.10
  4. Step 4: Simplify right side
    411,486.10x = 237,211,120,308.62
  5. Step 5: Solve for x
    x = 237,211,120,308.62/411,486.10
  6. Step 6: Final answer
    x = 576,474.20

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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.