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Finding the Fourth Proportional to 393,046.58, 589,569.87 and 97,558.58

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Solution

The fourth proportional to 393,046.58, 589,569.87 and 97,558.58 is: 146,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,046.58 : 589,569.87 = 97,558.58 : x
  2. Step 2: Convert to fraction form
    393,046.58/589,569.87 = 97,558.58/x
  3. Step 3: Cross multiply
    393,046.58x = 589,569.87 × 97,558.58
  4. Step 4: Simplify right side
    393,046.58x = 57,517,599,327.98
  5. Step 5: Solve for x
    x = 57,517,599,327.98/393,046.58
  6. Step 6: Final answer
    x = 146,337.87

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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.