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Finding the Fourth Proportional to 459,013.80, 688,520.70 and 192,685.80

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Solution

The fourth proportional to 459,013.80, 688,520.70 and 192,685.80 is: 289,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,013.80 : 688,520.70 = 192,685.80 : x
  2. Step 2: Convert to fraction form
    459,013.80/688,520.70 = 192,685.80/x
  3. Step 3: Cross multiply
    459,013.80x = 688,520.70 × 192,685.80
  4. Step 4: Simplify right side
    459,013.80x = 132,668,161,896.06
  5. Step 5: Solve for x
    x = 132,668,161,896.06/459,013.80
  6. Step 6: Final answer
    x = 289,028.70

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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.