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Finding the Fourth Proportional to 355,216.40, 490,184.08 and 194,077.02

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Solution

The fourth proportional to 355,216.40, 490,184.08 and 194,077.02 is: 267,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,216.40 : 490,184.08 = 194,077.02 : x
  2. Step 2: Convert to fraction form
    355,216.40/490,184.08 = 194,077.02/x
  3. Step 3: Cross multiply
    355,216.40x = 490,184.08 × 194,077.02
  4. Step 4: Simplify right side
    355,216.40x = 95,133,465,497.84
  5. Step 5: Solve for x
    x = 95,133,465,497.84/355,216.40
  6. Step 6: Final answer
    x = 267,818.34

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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.