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Finding the Fourth Proportional to 423,204.88, 584,059.68 and 232,255.12

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Solution

The fourth proportional to 423,204.88, 584,059.68 and 232,255.12 is: 320,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,204.88 : 584,059.68 = 232,255.12 : x
  2. Step 2: Convert to fraction form
    423,204.88/584,059.68 = 232,255.12/x
  3. Step 3: Cross multiply
    423,204.88x = 584,059.68 × 232,255.12
  4. Step 4: Simplify right side
    423,204.88x = 135,650,851,065.56
  5. Step 5: Solve for x
    x = 135,650,851,065.56/423,204.88
  6. Step 6: Final answer
    x = 320,532.34

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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.