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Finding the Fourth Proportional to 384,093.40, 576,312.90 and 134,954.20

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Solution

The fourth proportional to 384,093.40, 576,312.90 and 134,954.20 is: 202,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,093.40 : 576,312.90 = 134,954.20 : x
  2. Step 2: Convert to fraction form
    384,093.40/576,312.90 = 134,954.20/x
  3. Step 3: Cross multiply
    384,093.40x = 576,312.90 × 134,954.20
  4. Step 4: Simplify right side
    384,093.40x = 77,775,846,369.18
  5. Step 5: Solve for x
    x = 77,775,846,369.18/384,093.40
  6. Step 6: Final answer
    x = 202,492.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.