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Finding the Fourth Proportional to 357,466.08, 493,311.78 and 194,129.40

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Solution

The fourth proportional to 357,466.08, 493,311.78 and 194,129.40 is: 267,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,466.08 : 493,311.78 = 194,129.40 : x
  2. Step 2: Convert to fraction form
    357,466.08/493,311.78 = 194,129.40/x
  3. Step 3: Cross multiply
    357,466.08x = 493,311.78 × 194,129.40
  4. Step 4: Simplify right side
    357,466.08x = 95,766,319,864.33
  5. Step 5: Solve for x
    x = 95,766,319,864.33/357,466.08
  6. Step 6: Final answer
    x = 267,903.24

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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.