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Finding the Fourth Proportional to 505,132.80, 697,173.57 and 301,196.85

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Solution

The fourth proportional to 505,132.80, 697,173.57 and 301,196.85 is: 415,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,132.80 : 697,173.57 = 301,196.85 : x
  2. Step 2: Convert to fraction form
    505,132.80/697,173.57 = 301,196.85/x
  3. Step 3: Cross multiply
    505,132.80x = 697,173.57 × 301,196.85
  4. Step 4: Simplify right side
    505,132.80x = 209,986,483,187.25
  5. Step 5: Solve for x
    x = 209,986,483,187.25/505,132.80
  6. Step 6: Final answer
    x = 415,705.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.