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Finding the Fourth Proportional to 589,904, 884,859.44 and 146,672

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Solution

The fourth proportional to 589,904, 884,859.44 and 146,672 is: 220,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,904 : 884,859.44 = 146,672 : x
  2. Step 2: Convert to fraction form
    589,904/884,859.44 = 146,672/x
  3. Step 3: Cross multiply
    589,904x = 884,859.44 × 146,672
  4. Step 4: Simplify right side
    589,904x = 129,784,103,783.68
  5. Step 5: Solve for x
    x = 129,784,103,783.68/589,904
  6. Step 6: Final answer
    x = 220,008.86

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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.