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Finding the Fourth Proportional to 589,685.84, 884,005.13 and 229,773.32

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Solution

The fourth proportional to 589,685.84, 884,005.13 and 229,773.32 is: 344,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,685.84 : 884,005.13 = 229,773.32 : x
  2. Step 2: Convert to fraction form
    589,685.84/884,005.13 = 229,773.32/x
  3. Step 3: Cross multiply
    589,685.84x = 884,005.13 × 229,773.32
  4. Step 4: Simplify right side
    589,685.84x = 203,120,789,771.54
  5. Step 5: Solve for x
    x = 203,120,789,771.54/589,685.84
  6. Step 6: Final answer
    x = 344,455.94

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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.