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Finding the Fourth Proportional to 589,920, 884,883.24 and 146,688

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Solution

The fourth proportional to 589,920, 884,883.24 and 146,688 is: 220,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,920 : 884,883.24 = 146,688 : x
  2. Step 2: Convert to fraction form
    589,920/884,883.24 = 146,688/x
  3. Step 3: Cross multiply
    589,920x = 884,883.24 × 146,688
  4. Step 4: Simplify right side
    589,920x = 129,801,752,709.12
  5. Step 5: Solve for x
    x = 129,801,752,709.12/589,920
  6. Step 6: Final answer
    x = 220,032.81

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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.