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Finding the Fourth Proportional to 416,511.76, 624,791.86 and 117,015.69

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Solution

The fourth proportional to 416,511.76, 624,791.86 and 117,015.69 is: 175,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,511.76 : 624,791.86 = 117,015.69 : x
  2. Step 2: Convert to fraction form
    416,511.76/624,791.86 = 117,015.69/x
  3. Step 3: Cross multiply
    416,511.76x = 624,791.86 × 117,015.69
  4. Step 4: Simplify right side
    416,511.76x = 73,110,450,973.16
  5. Step 5: Solve for x
    x = 73,110,450,973.16/416,511.76
  6. Step 6: Final answer
    x = 175,530.34

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1.5x scale

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.