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Finding the Fourth Proportional to 422,970.04, 583,697.10 and 261,793

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Solution

The fourth proportional to 422,970.04, 583,697.10 and 261,793 is: 361,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,970.04 : 583,697.10 = 261,793 : x
  2. Step 2: Convert to fraction form
    422,970.04/583,697.10 = 261,793/x
  3. Step 3: Cross multiply
    422,970.04x = 583,697.10 × 261,793
  4. Step 4: Simplify right side
    422,970.04x = 152,807,814,900.30
  5. Step 5: Solve for x
    x = 152,807,814,900.30/422,970.04
  6. Step 6: Final answer
    x = 361,273.38

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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.