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Finding the Fourth Proportional to 382,029.31, 527,168.76 and 209,938.23

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Solution

The fourth proportional to 382,029.31, 527,168.76 and 209,938.23 is: 289,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,029.31 : 527,168.76 = 209,938.23 : x
  2. Step 2: Convert to fraction form
    382,029.31/527,168.76 = 209,938.23/x
  3. Step 3: Cross multiply
    382,029.31x = 527,168.76 × 209,938.23
  4. Step 4: Simplify right side
    382,029.31x = 110,672,875,598.43
  5. Step 5: Solve for x
    x = 110,672,875,598.43/382,029.31
  6. Step 6: Final answer
    x = 289,697.34

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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.