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Finding the Fourth Proportional to 416,518.58, 624,802.10 and 117,022.52

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Solution

The fourth proportional to 416,518.58, 624,802.10 and 117,022.52 is: 175,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,518.58 : 624,802.10 = 117,022.52 : x
  2. Step 2: Convert to fraction form
    416,518.58/624,802.10 = 117,022.52/x
  3. Step 3: Cross multiply
    416,518.58x = 624,802.10 × 117,022.52
  4. Step 4: Simplify right side
    416,518.58x = 73,115,917,220.18
  5. Step 5: Solve for x
    x = 73,115,917,220.18/416,518.58
  6. Step 6: Final answer
    x = 175,540.59

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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.