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Finding the Fourth Proportional to 442,597.89, 663,895.64 and 189,714.41

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Solution

The fourth proportional to 442,597.89, 663,895.64 and 189,714.41 is: 284,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,597.89 : 663,895.64 = 189,714.41 : x
  2. Step 2: Convert to fraction form
    442,597.89/663,895.64 = 189,714.41/x
  3. Step 3: Cross multiply
    442,597.89x = 663,895.64 × 189,714.41
  4. Step 4: Simplify right side
    442,597.89x = 125,950,569,644.17
  5. Step 5: Solve for x
    x = 125,950,569,644.17/442,597.89
  6. Step 6: Final answer
    x = 284,571.10

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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.