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Finding the Fourth Proportional to 523,658.69, 785,549.53 and 186,747.23

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Solution

The fourth proportional to 523,658.69, 785,549.53 and 186,747.23 is: 280,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,658.69 : 785,549.53 = 186,747.23 : x
  2. Step 2: Convert to fraction form
    523,658.69/785,549.53 = 186,747.23/x
  3. Step 3: Cross multiply
    523,658.69x = 785,549.53 × 186,747.23
  4. Step 4: Simplify right side
    523,658.69x = 146,699,200,952.61
  5. Step 5: Solve for x
    x = 146,699,200,952.61/523,658.69
  6. Step 6: Final answer
    x = 280,142.78

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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.