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Finding the Fourth Proportional to 380,429.06, 524,901.94 and 225,302.04

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Solution

The fourth proportional to 380,429.06, 524,901.94 and 225,302.04 is: 310,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,429.06 : 524,901.94 = 225,302.04 : x
  2. Step 2: Convert to fraction form
    380,429.06/524,901.94 = 225,302.04/x
  3. Step 3: Cross multiply
    380,429.06x = 524,901.94 × 225,302.04
  4. Step 4: Simplify right side
    380,429.06x = 118,261,477,318.70
  5. Step 5: Solve for x
    x = 118,261,477,318.70/380,429.06
  6. Step 6: Final answer
    x = 310,863.42

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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.