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Finding the Fourth Proportional to 423,258.28, 584,094.82 and 232,274.84

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Solution

The fourth proportional to 423,258.28, 584,094.82 and 232,274.84 is: 320,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,258.28 : 584,094.82 = 232,274.84 : x
  2. Step 2: Convert to fraction form
    423,258.28/584,094.82 = 232,274.84/x
  3. Step 3: Cross multiply
    423,258.28x = 584,094.82 × 232,274.84
  4. Step 4: Simplify right side
    423,258.28x = 135,670,530,860.33
  5. Step 5: Solve for x
    x = 135,670,530,860.33/423,258.28
  6. Step 6: Final answer
    x = 320,538.40

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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.