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Finding the Fourth Proportional to 412,573, 569,350.74 and 233,725

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Solution

The fourth proportional to 412,573, 569,350.74 and 233,725 is: 322,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,573 : 569,350.74 = 233,725 : x
  2. Step 2: Convert to fraction form
    412,573/569,350.74 = 233,725/x
  3. Step 3: Cross multiply
    412,573x = 569,350.74 × 233,725
  4. Step 4: Simplify right side
    412,573x = 133,071,501,706.50
  5. Step 5: Solve for x
    x = 133,071,501,706.50/412,573
  6. Step 6: Final answer
    x = 322,540.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.