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Finding the Fourth Proportional to 412,252.80, 617,573.82 and 284,146.32

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Solution

The fourth proportional to 412,252.80, 617,573.82 and 284,146.32 is: 425,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,252.80 : 617,573.82 = 284,146.32 : x
  2. Step 2: Convert to fraction form
    412,252.80/617,573.82 = 284,146.32/x
  3. Step 3: Cross multiply
    412,252.80x = 617,573.82 × 284,146.32
  4. Step 4: Simplify right side
    412,252.80x = 175,481,328,281.34
  5. Step 5: Solve for x
    x = 175,481,328,281.34/412,252.80
  6. Step 6: Final answer
    x = 425,664.37

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1.5x scale

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.