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Finding the Fourth Proportional to 357,725.52, 493,629.12 and 196,578.72

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Solution

The fourth proportional to 357,725.52, 493,629.12 and 196,578.72 is: 271,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,725.52 : 493,629.12 = 196,578.72 : x
  2. Step 2: Convert to fraction form
    357,725.52/493,629.12 = 196,578.72/x
  3. Step 3: Cross multiply
    357,725.52x = 493,629.12 × 196,578.72
  4. Step 4: Simplify right side
    357,725.52x = 97,036,980,564.33
  5. Step 5: Solve for x
    x = 97,036,980,564.33/357,725.52
  6. Step 6: Final answer
    x = 271,261.00

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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.