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Finding the Fourth Proportional to 589,870, 884,808.24 and 146,638

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Solution

The fourth proportional to 589,870, 884,808.24 and 146,638 is: 219,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,870 : 884,808.24 = 146,638 : x
  2. Step 2: Convert to fraction form
    589,870/884,808.24 = 146,638/x
  3. Step 3: Cross multiply
    589,870x = 884,808.24 × 146,638
  4. Step 4: Simplify right side
    589,870x = 129,746,510,697.12
  5. Step 5: Solve for x
    x = 129,746,510,697.12/589,870
  6. Step 6: Final answer
    x = 219,957.81

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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.