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Finding the Fourth Proportional to 411,474.60, 576,458.10 and 411,474.60

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Solution

The fourth proportional to 411,474.60, 576,458.10 and 411,474.60 is: 576,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,474.60 : 576,458.10 = 411,474.60 : x
  2. Step 2: Convert to fraction form
    411,474.60/576,458.10 = 411,474.60/x
  3. Step 3: Cross multiply
    411,474.60x = 576,458.10 × 411,474.60
  4. Step 4: Simplify right side
    411,474.60x = 237,197,866,114.26
  5. Step 5: Solve for x
    x = 237,197,866,114.26/411,474.60
  6. Step 6: Final answer
    x = 576,458.10

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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.