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Finding the Fourth Proportional to 310,774.98, 466,165.17 and 100,412.94

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Solution

The fourth proportional to 310,774.98, 466,165.17 and 100,412.94 is: 150,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,774.98 : 466,165.17 = 100,412.94 : x
  2. Step 2: Convert to fraction form
    310,774.98/466,165.17 = 100,412.94/x
  3. Step 3: Cross multiply
    310,774.98x = 466,165.17 × 100,412.94
  4. Step 4: Simplify right side
    310,774.98x = 46,809,015,245.30
  5. Step 5: Solve for x
    x = 46,809,015,245.30/310,774.98
  6. Step 6: Final answer
    x = 150,620.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.