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Finding the Fourth Proportional to 423,168.96, 584,010.12 and 232,219.68

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Solution

The fourth proportional to 423,168.96, 584,010.12 and 232,219.68 is: 320,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,168.96 : 584,010.12 = 232,219.68 : x
  2. Step 2: Convert to fraction form
    423,168.96/584,010.12 = 232,219.68/x
  3. Step 3: Cross multiply
    423,168.96x = 584,010.12 × 232,219.68
  4. Step 4: Simplify right side
    423,168.96x = 135,618,643,183.16
  5. Step 5: Solve for x
    x = 135,618,643,183.16/423,168.96
  6. Step 6: Final answer
    x = 320,483.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.