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Finding the Fourth Proportional to 646,593.20, 970,327.20 and 362,283.20

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Solution

The fourth proportional to 646,593.20, 970,327.20 and 362,283.20 is: 543,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,593.20 : 970,327.20 = 362,283.20 : x
  2. Step 2: Convert to fraction form
    646,593.20/970,327.20 = 362,283.20/x
  3. Step 3: Cross multiply
    646,593.20x = 970,327.20 × 362,283.20
  4. Step 4: Simplify right side
    646,593.20x = 351,533,243,063.04
  5. Step 5: Solve for x
    x = 351,533,243,063.04/646,593.20
  6. Step 6: Final answer
    x = 543,669.87

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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.