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Finding the Fourth Proportional to 377,147.56, 520,457.86 and 205,064.14

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Solution

The fourth proportional to 377,147.56, 520,457.86 and 205,064.14 is: 282,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,147.56 : 520,457.86 = 205,064.14 : x
  2. Step 2: Convert to fraction form
    377,147.56/520,457.86 = 205,064.14/x
  3. Step 3: Cross multiply
    377,147.56x = 520,457.86 × 205,064.14
  4. Step 4: Simplify right side
    377,147.56x = 106,727,243,467.14
  5. Step 5: Solve for x
    x = 106,727,243,467.14/377,147.56
  6. Step 6: Final answer
    x = 282,985.37

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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.