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Finding the Fourth Proportional to 310,448.88, 465,651.36 and 110,746.62

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Solution

The fourth proportional to 310,448.88, 465,651.36 and 110,746.62 is: 166,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,448.88 : 465,651.36 = 110,746.62 : x
  2. Step 2: Convert to fraction form
    310,448.88/465,651.36 = 110,746.62/x
  3. Step 3: Cross multiply
    310,448.88x = 465,651.36 × 110,746.62
  4. Step 4: Simplify right side
    310,448.88x = 51,569,314,218.40
  5. Step 5: Solve for x
    x = 51,569,314,218.40/310,448.88
  6. Step 6: Final answer
    x = 166,112.10

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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.