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Finding the Fourth Proportional to 449,788.14, 674,681.94 and 117,364.14

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Solution

The fourth proportional to 449,788.14, 674,681.94 and 117,364.14 is: 176,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,788.14 : 674,681.94 = 117,364.14 : x
  2. Step 2: Convert to fraction form
    449,788.14/674,681.94 = 117,364.14/x
  3. Step 3: Cross multiply
    449,788.14x = 674,681.94 × 117,364.14
  4. Step 4: Simplify right side
    449,788.14x = 79,183,465,661.63
  5. Step 5: Solve for x
    x = 79,183,465,661.63/449,788.14
  6. Step 6: Final answer
    x = 176,046.14

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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.