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Finding the Fourth Proportional to 423,488.22, 584,406.42 and 232,500.24

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Solution

The fourth proportional to 423,488.22, 584,406.42 and 232,500.24 is: 320,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,488.22 : 584,406.42 = 232,500.24 : x
  2. Step 2: Convert to fraction form
    423,488.22/584,406.42 = 232,500.24/x
  3. Step 3: Cross multiply
    423,488.22x = 584,406.42 × 232,500.24
  4. Step 4: Simplify right side
    423,488.22x = 135,874,632,907.54
  5. Step 5: Solve for x
    x = 135,874,632,907.54/423,488.22
  6. Step 6: Final answer
    x = 320,846.31

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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.