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Finding the Fourth Proportional to 416,533.26, 624,702.34 and 117,042.44

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Solution

The fourth proportional to 416,533.26, 624,702.34 and 117,042.44 is: 175,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,533.26 : 624,702.34 = 117,042.44 : x
  2. Step 2: Convert to fraction form
    416,533.26/624,702.34 = 117,042.44/x
  3. Step 3: Cross multiply
    416,533.26x = 624,702.34 × 117,042.44
  4. Step 4: Simplify right side
    416,533.26x = 73,116,686,147.31
  5. Step 5: Solve for x
    x = 73,116,686,147.31/416,533.26
  6. Step 6: Final answer
    x = 175,536.25

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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.