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Finding the Fourth Proportional to 430,863.84, 646,591.01 and 150,381.09

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Solution

The fourth proportional to 430,863.84, 646,591.01 and 150,381.09 is: 225,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,863.84 : 646,591.01 = 150,381.09 : x
  2. Step 2: Convert to fraction form
    430,863.84/646,591.01 = 150,381.09/x
  3. Step 3: Cross multiply
    430,863.84x = 646,591.01 × 150,381.09
  4. Step 4: Simplify right side
    430,863.84x = 97,235,060,116.10
  5. Step 5: Solve for x
    x = 97,235,060,116.10/430,863.84
  6. Step 6: Final answer
    x = 225,674.68

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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.