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Finding the Fourth Proportional to 384,077.69, 530,026.80 and 214,311.83

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Solution

The fourth proportional to 384,077.69, 530,026.80 and 214,311.83 is: 295,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,077.69 : 530,026.80 = 214,311.83 : x
  2. Step 2: Convert to fraction form
    384,077.69/530,026.80 = 214,311.83/x
  3. Step 3: Cross multiply
    384,077.69x = 530,026.80 × 214,311.83
  4. Step 4: Simplify right side
    384,077.69x = 113,591,013,457.04
  5. Step 5: Solve for x
    x = 113,591,013,457.04/384,077.69
  6. Step 6: Final answer
    x = 295,750.10

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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.