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Finding the Fourth Proportional to 351,509.40, 527,614.06 and 193,812.12

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Solution

The fourth proportional to 351,509.40, 527,614.06 and 193,812.12 is: 290,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,509.40 : 527,614.06 = 193,812.12 : x
  2. Step 2: Convert to fraction form
    351,509.40/527,614.06 = 193,812.12/x
  3. Step 3: Cross multiply
    351,509.40x = 527,614.06 × 193,812.12
  4. Step 4: Simplify right side
    351,509.40x = 102,257,999,510.41
  5. Step 5: Solve for x
    x = 102,257,999,510.41/351,509.40
  6. Step 6: Final answer
    x = 290,911.14

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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.