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Finding the Fourth Proportional to 422,504.16, 583,045.68 and 231,508.32

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Solution

The fourth proportional to 422,504.16, 583,045.68 and 231,508.32 is: 319,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,504.16 : 583,045.68 = 231,508.32 : x
  2. Step 2: Convert to fraction form
    422,504.16/583,045.68 = 231,508.32/x
  3. Step 3: Cross multiply
    422,504.16x = 583,045.68 × 231,508.32
  4. Step 4: Simplify right side
    422,504.16x = 134,979,925,860.06
  5. Step 5: Solve for x
    x = 134,979,925,860.06/422,504.16
  6. Step 6: Final answer
    x = 319,475.97

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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.