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Finding the Fourth Proportional to 352,000.40, 527,999.96 and 141,588.80

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Solution

The fourth proportional to 352,000.40, 527,999.96 and 141,588.80 is: 212,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,000.40 : 527,999.96 = 141,588.80 : x
  2. Step 2: Convert to fraction form
    352,000.40/527,999.96 = 141,588.80/x
  3. Step 3: Cross multiply
    352,000.40x = 527,999.96 × 141,588.80
  4. Step 4: Simplify right side
    352,000.40x = 74,758,880,736.45
  5. Step 5: Solve for x
    x = 74,758,880,736.45/352,000.40
  6. Step 6: Final answer
    x = 212,382.94

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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.