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Finding the Fourth Proportional to 569,358.56, 785,792.94 and 327,636.20

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Solution

The fourth proportional to 569,358.56, 785,792.94 and 327,636.20 is: 452,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,358.56 : 785,792.94 = 327,636.20 : x
  2. Step 2: Convert to fraction form
    569,358.56/785,792.94 = 327,636.20/x
  3. Step 3: Cross multiply
    569,358.56x = 785,792.94 × 327,636.20
  4. Step 4: Simplify right side
    569,358.56x = 257,454,212,848.43
  5. Step 5: Solve for x
    x = 257,454,212,848.43/569,358.56
  6. Step 6: Final answer
    x = 452,182.91

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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.