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Finding the Fourth Proportional to 411,475.10, 576,458.80 and 411,475.10

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Solution

The fourth proportional to 411,475.10, 576,458.80 and 411,475.10 is: 576,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,475.10 : 576,458.80 = 411,475.10 : x
  2. Step 2: Convert to fraction form
    411,475.10/576,458.80 = 411,475.10/x
  3. Step 3: Cross multiply
    411,475.10x = 576,458.80 × 411,475.10
  4. Step 4: Simplify right side
    411,475.10x = 237,198,442,375.88
  5. Step 5: Solve for x
    x = 237,198,442,375.88/411,475.10
  6. Step 6: Final answer
    x = 576,458.80

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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.