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Finding the Fourth Proportional to 335,730.30, 504,178.65 and 178,266.30

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Solution

The fourth proportional to 335,730.30, 504,178.65 and 178,266.30 is: 267,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,730.30 : 504,178.65 = 178,266.30 : x
  2. Step 2: Convert to fraction form
    335,730.30/504,178.65 = 178,266.30/x
  3. Step 3: Cross multiply
    335,730.30x = 504,178.65 × 178,266.30
  4. Step 4: Simplify right side
    335,730.30x = 89,878,062,474.50
  5. Step 5: Solve for x
    x = 89,878,062,474.50/335,730.30
  6. Step 6: Final answer
    x = 267,709.12

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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.