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Finding the Fourth Proportional to 334,414.70, 501,622.05 and 147,790.70

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Solution

The fourth proportional to 334,414.70, 501,622.05 and 147,790.70 is: 221,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,414.70 : 501,622.05 = 147,790.70 : x
  2. Step 2: Convert to fraction form
    334,414.70/501,622.05 = 147,790.70/x
  3. Step 3: Cross multiply
    334,414.70x = 501,622.05 × 147,790.70
  4. Step 4: Simplify right side
    334,414.70x = 74,135,073,904.94
  5. Step 5: Solve for x
    x = 74,135,073,904.94/334,414.70
  6. Step 6: Final answer
    x = 221,686.05

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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.