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Finding the Fourth Proportional to 412,570, 569,346.60 and 233,722

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Solution

The fourth proportional to 412,570, 569,346.60 and 233,722 is: 322,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,570 : 569,346.60 = 233,722 : x
  2. Step 2: Convert to fraction form
    412,570/569,346.60 = 233,722/x
  3. Step 3: Cross multiply
    412,570x = 569,346.60 × 233,722
  4. Step 4: Simplify right side
    412,570x = 133,068,826,045.20
  5. Step 5: Solve for x
    x = 133,068,826,045.20/412,570
  6. Step 6: Final answer
    x = 322,536.36

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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.