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Finding the Fourth Proportional to 393,047.58, 589,571.37 and 97,559.58

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Solution

The fourth proportional to 393,047.58, 589,571.37 and 97,559.58 is: 146,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,047.58 : 589,571.37 = 97,559.58 : x
  2. Step 2: Convert to fraction form
    393,047.58/589,571.37 = 97,559.58/x
  3. Step 3: Cross multiply
    393,047.58x = 589,571.37 × 97,559.58
  4. Step 4: Simplify right side
    393,047.58x = 57,518,335,237.22
  5. Step 5: Solve for x
    x = 57,518,335,237.22/393,047.58
  6. Step 6: Final answer
    x = 146,339.37

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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.