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Finding the Fourth Proportional to 449,970.80, 674,963.40 and 117,546.80

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Solution

The fourth proportional to 449,970.80, 674,963.40 and 117,546.80 is: 176,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,970.80 : 674,963.40 = 117,546.80 : x
  2. Step 2: Convert to fraction form
    449,970.80/674,963.40 = 117,546.80/x
  3. Step 3: Cross multiply
    449,970.80x = 674,963.40 × 117,546.80
  4. Step 4: Simplify right side
    449,970.80x = 79,339,787,787.12
  5. Step 5: Solve for x
    x = 79,339,787,787.12/449,970.80
  6. Step 6: Final answer
    x = 176,322.08

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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.