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Finding the Fourth Proportional to 411,429.42, 567,825.12 and 230,151.42

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Solution

The fourth proportional to 411,429.42, 567,825.12 and 230,151.42 is: 317,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,429.42 : 567,825.12 = 230,151.42 : x
  2. Step 2: Convert to fraction form
    411,429.42/567,825.12 = 230,151.42/x
  3. Step 3: Cross multiply
    411,429.42x = 567,825.12 × 230,151.42
  4. Step 4: Simplify right side
    411,429.42x = 130,685,757,679.67
  5. Step 5: Solve for x
    x = 130,685,757,679.67/411,429.42
  6. Step 6: Final answer
    x = 317,638.34

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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.