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Finding the Fourth Proportional to 423,378.45, 584,268.89 and 232,409.25

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Solution

The fourth proportional to 423,378.45, 584,268.89 and 232,409.25 is: 320,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,378.45 : 584,268.89 = 232,409.25 : x
  2. Step 2: Convert to fraction form
    423,378.45/584,268.89 = 232,409.25/x
  3. Step 3: Cross multiply
    423,378.45x = 584,268.89 × 232,409.25
  4. Step 4: Simplify right side
    423,378.45x = 135,789,493,361.19
  5. Step 5: Solve for x
    x = 135,789,493,361.19/423,378.45
  6. Step 6: Final answer
    x = 320,728.40

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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.