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Finding the Fourth Proportional to 505,580.86, 697,697.31 and 279,221.50

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Solution

The fourth proportional to 505,580.86, 697,697.31 and 279,221.50 is: 385,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,580.86 : 697,697.31 = 279,221.50 : x
  2. Step 2: Convert to fraction form
    505,580.86/697,697.31 = 279,221.50/x
  3. Step 3: Cross multiply
    505,580.86x = 697,697.31 × 279,221.50
  4. Step 4: Simplify right side
    505,580.86x = 194,812,089,444.17
  5. Step 5: Solve for x
    x = 194,812,089,444.17/505,580.86
  6. Step 6: Final answer
    x = 385,323.31

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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.