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Finding the Fourth Proportional to 379,406.90, 523,592.08 and 209,652.14

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Solution

The fourth proportional to 379,406.90, 523,592.08 and 209,652.14 is: 289,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,406.90 : 523,592.08 = 209,652.14 : x
  2. Step 2: Convert to fraction form
    379,406.90/523,592.08 = 209,652.14/x
  3. Step 3: Cross multiply
    379,406.90x = 523,592.08 × 209,652.14
  4. Step 4: Simplify right side
    379,406.90x = 109,772,196,916.96
  5. Step 5: Solve for x
    x = 109,772,196,916.96/379,406.90
  6. Step 6: Final answer
    x = 289,325.78

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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.