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Finding the Fourth Proportional to 423,226.26, 584,050.64 and 232,242.84

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Solution

The fourth proportional to 423,226.26, 584,050.64 and 232,242.84 is: 320,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,226.26 : 584,050.64 = 232,242.84 : x
  2. Step 2: Convert to fraction form
    423,226.26/584,050.64 = 232,242.84/x
  3. Step 3: Cross multiply
    423,226.26x = 584,050.64 × 232,242.84
  4. Step 4: Simplify right side
    423,226.26x = 135,641,578,176.20
  5. Step 5: Solve for x
    x = 135,641,578,176.20/423,226.26
  6. Step 6: Final answer
    x = 320,494.24

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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.