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Finding the Fourth Proportional to 423,812.30, 584,858.16 and 230,218.25

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Solution

The fourth proportional to 423,812.30, 584,858.16 and 230,218.25 is: 317,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,812.30 : 584,858.16 = 230,218.25 : x
  2. Step 2: Convert to fraction form
    423,812.30/584,858.16 = 230,218.25/x
  3. Step 3: Cross multiply
    423,812.30x = 584,858.16 × 230,218.25
  4. Step 4: Simplify right side
    423,812.30x = 134,645,022,093.42
  5. Step 5: Solve for x
    x = 134,645,022,093.42/423,812.30
  6. Step 6: Final answer
    x = 317,699.66

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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.