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Finding the Fourth Proportional to 523,834.02, 785,770.50 and 168,853.14

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Solution

The fourth proportional to 523,834.02, 785,770.50 and 168,853.14 is: 253,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,834.02 : 785,770.50 = 168,853.14 : x
  2. Step 2: Convert to fraction form
    523,834.02/785,770.50 = 168,853.14/x
  3. Step 3: Cross multiply
    523,834.02x = 785,770.50 × 168,853.14
  4. Step 4: Simplify right side
    523,834.02x = 132,679,816,244.37
  5. Step 5: Solve for x
    x = 132,679,816,244.37/523,834.02
  6. Step 6: Final answer
    x = 253,285.99

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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.