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Finding the Fourth Proportional to 345,529.68, 518,294.52 and 197,682

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Solution

The fourth proportional to 345,529.68, 518,294.52 and 197,682 is: 296,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,529.68 : 518,294.52 = 197,682 : x
  2. Step 2: Convert to fraction form
    345,529.68/518,294.52 = 197,682/x
  3. Step 3: Cross multiply
    345,529.68x = 518,294.52 × 197,682
  4. Step 4: Simplify right side
    345,529.68x = 102,457,497,302.64
  5. Step 5: Solve for x
    x = 102,457,497,302.64/345,529.68
  6. Step 6: Final answer
    x = 296,523

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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.