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Finding the Fourth Proportional to 404,097.66, 605,970.81 and 115,845.84

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Solution

The fourth proportional to 404,097.66, 605,970.81 and 115,845.84 is: 173,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,097.66 : 605,970.81 = 115,845.84 : x
  2. Step 2: Convert to fraction form
    404,097.66/605,970.81 = 115,845.84/x
  3. Step 3: Cross multiply
    404,097.66x = 605,970.81 × 115,845.84
  4. Step 4: Simplify right side
    404,097.66x = 70,199,197,499.93
  5. Step 5: Solve for x
    x = 70,199,197,499.93/404,097.66
  6. Step 6: Final answer
    x = 173,718.40

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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.