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Finding the Fourth Proportional to 505,209.96, 697,172.40 and 301,155.75

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Solution

The fourth proportional to 505,209.96, 697,172.40 and 301,155.75 is: 415,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,209.96 : 697,172.40 = 301,155.75 : x
  2. Step 2: Convert to fraction form
    505,209.96/697,172.40 = 301,155.75/x
  3. Step 3: Cross multiply
    505,209.96x = 697,172.40 × 301,155.75
  4. Step 4: Simplify right side
    505,209.96x = 209,957,477,001.30
  5. Step 5: Solve for x
    x = 209,957,477,001.30/505,209.96
  6. Step 6: Final answer
    x = 415,584.60

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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.