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Finding the Fourth Proportional to 589,890, 884,838.24 and 146,658

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Solution

The fourth proportional to 589,890, 884,838.24 and 146,658 is: 219,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,890 : 884,838.24 = 146,658 : x
  2. Step 2: Convert to fraction form
    589,890/884,838.24 = 146,658/x
  3. Step 3: Cross multiply
    589,890x = 884,838.24 × 146,658
  4. Step 4: Simplify right side
    589,890x = 129,768,606,601.92
  5. Step 5: Solve for x
    x = 129,768,606,601.92/589,890
  6. Step 6: Final answer
    x = 219,987.81

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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.