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Finding the Fourth Proportional to 422,972.04, 583,699.86 and 261,795

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Solution

The fourth proportional to 422,972.04, 583,699.86 and 261,795 is: 361,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,972.04 : 583,699.86 = 261,795 : x
  2. Step 2: Convert to fraction form
    422,972.04/583,699.86 = 261,795/x
  3. Step 3: Cross multiply
    422,972.04x = 583,699.86 × 261,795
  4. Step 4: Simplify right side
    422,972.04x = 152,809,704,848.70
  5. Step 5: Solve for x
    x = 152,809,704,848.70/422,972.04
  6. Step 6: Final answer
    x = 361,276.14

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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.