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Finding the Fourth Proportional to 380,438.08, 524,914.36 and 225,311.04

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Solution

The fourth proportional to 380,438.08, 524,914.36 and 225,311.04 is: 310,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,438.08 : 524,914.36 = 225,311.04 : x
  2. Step 2: Convert to fraction form
    380,438.08/524,914.36 = 225,311.04/x
  3. Step 3: Cross multiply
    380,438.08x = 524,914.36 × 225,311.04
  4. Step 4: Simplify right side
    380,438.08x = 118,269,000,362.53
  5. Step 5: Solve for x
    x = 118,269,000,362.53/380,438.08
  6. Step 6: Final answer
    x = 310,875.82

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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.