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Finding the Fourth Proportional to 422,996.16, 583,751.04 and 232,017.60

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Solution

The fourth proportional to 422,996.16, 583,751.04 and 232,017.60 is: 320,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,996.16 : 583,751.04 = 232,017.60 : x
  2. Step 2: Convert to fraction form
    422,996.16/583,751.04 = 232,017.60/x
  3. Step 3: Cross multiply
    422,996.16x = 583,751.04 × 232,017.60
  4. Step 4: Simplify right side
    422,996.16x = 135,440,515,298.30
  5. Step 5: Solve for x
    x = 135,440,515,298.30/422,996.16
  6. Step 6: Final answer
    x = 320,193.25

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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.