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Finding the Fourth Proportional to 384,175.92, 530,232.15 and 229,137.14

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Solution

The fourth proportional to 384,175.92, 530,232.15 and 229,137.14 is: 316,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,175.92 : 530,232.15 = 229,137.14 : x
  2. Step 2: Convert to fraction form
    384,175.92/530,232.15 = 229,137.14/x
  3. Step 3: Cross multiply
    384,175.92x = 530,232.15 × 229,137.14
  4. Step 4: Simplify right side
    384,175.92x = 121,495,880,571.90
  5. Step 5: Solve for x
    x = 121,495,880,571.90/384,175.92
  6. Step 6: Final answer
    x = 316,250.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.