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Finding the Fourth Proportional to 422,985.90, 583,758 and 232,036.50

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Solution

The fourth proportional to 422,985.90, 583,758 and 232,036.50 is: 320,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,985.90 : 583,758 = 232,036.50 : x
  2. Step 2: Convert to fraction form
    422,985.90/583,758 = 232,036.50/x
  3. Step 3: Cross multiply
    422,985.90x = 583,758 × 232,036.50
  4. Step 4: Simplify right side
    422,985.90x = 135,453,163,167
  5. Step 5: Solve for x
    x = 135,453,163,167/422,985.90
  6. Step 6: Final answer
    x = 320,230.92

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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.