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Finding the Fourth Proportional to 589,097.88, 812,813.94 and 347,361.48

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Solution

The fourth proportional to 589,097.88, 812,813.94 and 347,361.48 is: 479,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,097.88 : 812,813.94 = 347,361.48 : x
  2. Step 2: Convert to fraction form
    589,097.88/812,813.94 = 347,361.48/x
  3. Step 3: Cross multiply
    589,097.88x = 812,813.94 × 347,361.48
  4. Step 4: Simplify right side
    589,097.88x = 282,340,253,163.03
  5. Step 5: Solve for x
    x = 282,340,253,163.03/589,097.88
  6. Step 6: Final answer
    x = 479,275.62

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1.5x scale

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.