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Finding the Fourth Proportional to 360,878.14, 497,991.18 and 199,723.60

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Solution

The fourth proportional to 360,878.14, 497,991.18 and 199,723.60 is: 275,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,878.14 : 497,991.18 = 199,723.60 : x
  2. Step 2: Convert to fraction form
    360,878.14/497,991.18 = 199,723.60/x
  3. Step 3: Cross multiply
    360,878.14x = 497,991.18 × 199,723.60
  4. Step 4: Simplify right side
    360,878.14x = 99,460,591,237.85
  5. Step 5: Solve for x
    x = 99,460,591,237.85/360,878.14
  6. Step 6: Final answer
    x = 275,607.14

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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.