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Finding the Fourth Proportional to 589,883.50, 884,828.49 and 146,651.50

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Solution

The fourth proportional to 589,883.50, 884,828.49 and 146,651.50 is: 219,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,883.50 : 884,828.49 = 146,651.50 : x
  2. Step 2: Convert to fraction form
    589,883.50/884,828.49 = 146,651.50/x
  3. Step 3: Cross multiply
    589,883.50x = 884,828.49 × 146,651.50
  4. Step 4: Simplify right side
    589,883.50x = 129,761,425,301.24
  5. Step 5: Solve for x
    x = 129,761,425,301.24/589,883.50
  6. Step 6: Final answer
    x = 219,978.06

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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.