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Finding the Fourth Proportional to 468,644.81, 703,000.03 and 188,162.06

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Solution

The fourth proportional to 468,644.81, 703,000.03 and 188,162.06 is: 282,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.81 : 703,000.03 = 188,162.06 : x
  2. Step 2: Convert to fraction form
    468,644.81/703,000.03 = 188,162.06/x
  3. Step 3: Cross multiply
    468,644.81x = 703,000.03 × 188,162.06
  4. Step 4: Simplify right side
    468,644.81x = 132,277,935,111.96
  5. Step 5: Solve for x
    x = 132,277,935,111.96/468,644.81
  6. Step 6: Final answer
    x = 282,256.27

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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.