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Finding the Fourth Proportional to 411,605.81, 617,255.26 and 141,658.53

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Solution

The fourth proportional to 411,605.81, 617,255.26 and 141,658.53 is: 212,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,605.81 : 617,255.26 = 141,658.53 : x
  2. Step 2: Convert to fraction form
    411,605.81/617,255.26 = 141,658.53/x
  3. Step 3: Cross multiply
    411,605.81x = 617,255.26 × 141,658.53
  4. Step 4: Simplify right side
    411,605.81x = 87,439,472,766.37
  5. Step 5: Solve for x
    x = 87,439,472,766.37/411,605.81
  6. Step 6: Final answer
    x = 212,434.98

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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.