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Finding the Fourth Proportional to 411,078.14, 567,275.90 and 229,790.42

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Solution

The fourth proportional to 411,078.14, 567,275.90 and 229,790.42 is: 317,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,078.14 : 567,275.90 = 229,790.42 : x
  2. Step 2: Convert to fraction form
    411,078.14/567,275.90 = 229,790.42/x
  3. Step 3: Cross multiply
    411,078.14x = 567,275.90 × 229,790.42
  4. Step 4: Simplify right side
    411,078.14x = 130,354,567,316.88
  5. Step 5: Solve for x
    x = 130,354,567,316.88/411,078.14
  6. Step 6: Final answer
    x = 317,104.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.