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Finding the Fourth Proportional to 256,942.10, 385,411.02 and 200,829.38

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Solution

The fourth proportional to 256,942.10, 385,411.02 and 200,829.38 is: 301,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,942.10 : 385,411.02 = 200,829.38 : x
  2. Step 2: Convert to fraction form
    256,942.10/385,411.02 = 200,829.38/x
  3. Step 3: Cross multiply
    256,942.10x = 385,411.02 × 200,829.38
  4. Step 4: Simplify right side
    256,942.10x = 77,401,854,264.71
  5. Step 5: Solve for x
    x = 77,401,854,264.71/256,942.10
  6. Step 6: Final answer
    x = 301,242.40

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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.