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Finding the Fourth Proportional to 423,219.84, 584,023.32 and 232,229.04

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Solution

The fourth proportional to 423,219.84, 584,023.32 and 232,229.04 is: 320,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,219.84 : 584,023.32 = 232,229.04 : x
  2. Step 2: Convert to fraction form
    423,219.84/584,023.32 = 232,229.04/x
  3. Step 3: Cross multiply
    423,219.84x = 584,023.32 × 232,229.04
  4. Step 4: Simplify right side
    423,219.84x = 135,627,174,941.21
  5. Step 5: Solve for x
    x = 135,627,174,941.21/423,219.84
  6. Step 6: Final answer
    x = 320,465.07

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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.