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Finding the Fourth Proportional to 357,442.92, 493,271.82 and 196,308.36

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Solution

The fourth proportional to 357,442.92, 493,271.82 and 196,308.36 is: 270,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,442.92 : 493,271.82 = 196,308.36 : x
  2. Step 2: Convert to fraction form
    357,442.92/493,271.82 = 196,308.36/x
  3. Step 3: Cross multiply
    357,442.92x = 493,271.82 × 196,308.36
  4. Step 4: Simplify right side
    357,442.92x = 96,833,382,018.42
  5. Step 5: Solve for x
    x = 96,833,382,018.42/357,442.92
  6. Step 6: Final answer
    x = 270,905.86

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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.