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Finding the Fourth Proportional to 385,446.24, 578,166.14 and 301,277.20

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Solution

The fourth proportional to 385,446.24, 578,166.14 and 301,277.20 is: 451,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,446.24 : 578,166.14 = 301,277.20 : x
  2. Step 2: Convert to fraction form
    385,446.24/578,166.14 = 301,277.20/x
  3. Step 3: Cross multiply
    385,446.24x = 578,166.14 × 301,277.20
  4. Step 4: Simplify right side
    385,446.24x = 174,188,275,794.01
  5. Step 5: Solve for x
    x = 174,188,275,794.01/385,446.24
  6. Step 6: Final answer
    x = 451,913.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.