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Finding the Fourth Proportional to 423,286.32, 584,145.90 and 232,298.04

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Solution

The fourth proportional to 423,286.32, 584,145.90 and 232,298.04 is: 320,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,286.32 : 584,145.90 = 232,298.04 : x
  2. Step 2: Convert to fraction form
    423,286.32/584,145.90 = 232,298.04/x
  3. Step 3: Cross multiply
    423,286.32x = 584,145.90 × 232,298.04
  4. Step 4: Simplify right side
    423,286.32x = 135,695,947,644.04
  5. Step 5: Solve for x
    x = 135,695,947,644.04/423,286.32
  6. Step 6: Final answer
    x = 320,577.21

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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.