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Finding the Fourth Proportional to 505,136.05, 697,178.06 and 301,200.10

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Solution

The fourth proportional to 505,136.05, 697,178.06 and 301,200.10 is: 415,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,136.05 : 697,178.06 = 301,200.10 : x
  2. Step 2: Convert to fraction form
    505,136.05/697,178.06 = 301,200.10/x
  3. Step 3: Cross multiply
    505,136.05x = 697,178.06 × 301,200.10
  4. Step 4: Simplify right side
    505,136.05x = 209,990,101,389.81
  5. Step 5: Solve for x
    x = 209,990,101,389.81/505,136.05
  6. Step 6: Final answer
    x = 415,709.99

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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.