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Finding the Fourth Proportional to 589,762, 884,643 and 146,530

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Solution

The fourth proportional to 589,762, 884,643 and 146,530 is: 219,795

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,762 : 884,643 = 146,530 : x
  2. Step 2: Convert to fraction form
    589,762/884,643 = 146,530/x
  3. Step 3: Cross multiply
    589,762x = 884,643 × 146,530
  4. Step 4: Simplify right side
    589,762x = 129,626,738,790
  5. Step 5: Solve for x
    x = 129,626,738,790/589,762
  6. Step 6: Final answer
    x = 219,795

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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.