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Finding the Fourth Proportional to 411,477.60, 576,462.30 and 411,477.60

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Solution

The fourth proportional to 411,477.60, 576,462.30 and 411,477.60 is: 576,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,477.60 : 576,462.30 = 411,477.60 : x
  2. Step 2: Convert to fraction form
    411,477.60/576,462.30 = 411,477.60/x
  3. Step 3: Cross multiply
    411,477.60x = 576,462.30 × 411,477.60
  4. Step 4: Simplify right side
    411,477.60x = 237,201,323,694.48
  5. Step 5: Solve for x
    x = 237,201,323,694.48/411,477.60
  6. Step 6: Final answer
    x = 576,462.30

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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.