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Finding the Fourth Proportional to 589,842, 884,766.24 and 146,610

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Solution

The fourth proportional to 589,842, 884,766.24 and 146,610 is: 219,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,842 : 884,766.24 = 146,610 : x
  2. Step 2: Convert to fraction form
    589,842/884,766.24 = 146,610/x
  3. Step 3: Cross multiply
    589,842x = 884,766.24 × 146,610
  4. Step 4: Simplify right side
    589,842x = 129,715,578,446.40
  5. Step 5: Solve for x
    x = 129,715,578,446.40/589,842
  6. Step 6: Final answer
    x = 219,915.81

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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.