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Finding the Fourth Proportional to 411,356.34, 567,670.14 and 230,067.54

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Solution

The fourth proportional to 411,356.34, 567,670.14 and 230,067.54 is: 317,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,356.34 : 567,670.14 = 230,067.54 : x
  2. Step 2: Convert to fraction form
    411,356.34/567,670.14 = 230,067.54/x
  3. Step 3: Cross multiply
    411,356.34x = 567,670.14 × 230,067.54
  4. Step 4: Simplify right side
    411,356.34x = 130,602,472,641.26
  5. Step 5: Solve for x
    x = 130,602,472,641.26/411,356.34
  6. Step 6: Final answer
    x = 317,492.31

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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.