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Finding the Fourth Proportional to 468,941.46, 647,137 and 254,081.46

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Solution

The fourth proportional to 468,941.46, 647,137 and 254,081.46 is: 350,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,941.46 : 647,137 = 254,081.46 : x
  2. Step 2: Convert to fraction form
    468,941.46/647,137 = 254,081.46/x
  3. Step 3: Cross multiply
    468,941.46x = 647,137 × 254,081.46
  4. Step 4: Simplify right side
    468,941.46x = 164,425,513,780.02
  5. Step 5: Solve for x
    x = 164,425,513,780.02/468,941.46
  6. Step 6: Final answer
    x = 350,631.21

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1.5x scale

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.