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Finding the Fourth Proportional to 411,125.58, 567,351 and 229,837.86

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Solution

The fourth proportional to 411,125.58, 567,351 and 229,837.86 is: 317,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,125.58 : 567,351 = 229,837.86 : x
  2. Step 2: Convert to fraction form
    411,125.58/567,351 = 229,837.86/x
  3. Step 3: Cross multiply
    411,125.58x = 567,351 × 229,837.86
  4. Step 4: Simplify right side
    411,125.58x = 130,398,739,708.86
  5. Step 5: Solve for x
    x = 130,398,739,708.86/411,125.58
  6. Step 6: Final answer
    x = 317,174.96

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