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Finding the Fourth Proportional to 422,931.96, 583,662.96 and 231,952.32

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Solution

The fourth proportional to 422,931.96, 583,662.96 and 231,952.32 is: 320,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,931.96 : 583,662.96 = 231,952.32 : x
  2. Step 2: Convert to fraction form
    422,931.96/583,662.96 = 231,952.32/x
  3. Step 3: Cross multiply
    422,931.96x = 583,662.96 × 231,952.32
  4. Step 4: Simplify right side
    422,931.96x = 135,381,977,670.07
  5. Step 5: Solve for x
    x = 135,381,977,670.07/422,931.96
  6. Step 6: Final answer
    x = 320,103.45

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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.