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Finding the Fourth Proportional to 411,637.82, 567,978.64 and 230,314.58

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Solution

The fourth proportional to 411,637.82, 567,978.64 and 230,314.58 is: 317,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,637.82 : 567,978.64 = 230,314.58 : x
  2. Step 2: Convert to fraction form
    411,637.82/567,978.64 = 230,314.58/x
  3. Step 3: Cross multiply
    411,637.82x = 567,978.64 × 230,314.58
  4. Step 4: Simplify right side
    411,637.82x = 130,813,758,504.89
  5. Step 5: Solve for x
    x = 130,813,758,504.89/411,637.82
  6. Step 6: Final answer
    x = 317,788.48

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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.