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Finding the Fourth Proportional to 362,465.70, 543,042.45 and 309,977.70

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Solution

The fourth proportional to 362,465.70, 543,042.45 and 309,977.70 is: 464,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,465.70 : 543,042.45 = 309,977.70 : x
  2. Step 2: Convert to fraction form
    362,465.70/543,042.45 = 309,977.70/x
  3. Step 3: Cross multiply
    362,465.70x = 543,042.45 × 309,977.70
  4. Step 4: Simplify right side
    362,465.70x = 168,331,049,653.37
  5. Step 5: Solve for x
    x = 168,331,049,653.37/362,465.70
  6. Step 6: Final answer
    x = 464,405.46

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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.