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Finding the Fourth Proportional to 407,075.26, 610,605.60 and 167,137.06

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Solution

The fourth proportional to 407,075.26, 610,605.60 and 167,137.06 is: 250,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,075.26 : 610,605.60 = 167,137.06 : x
  2. Step 2: Convert to fraction form
    407,075.26/610,605.60 = 167,137.06/x
  3. Step 3: Cross multiply
    407,075.26x = 610,605.60 × 167,137.06
  4. Step 4: Simplify right side
    407,075.26x = 102,054,824,803.54
  5. Step 5: Solve for x
    x = 102,054,824,803.54/407,075.26
  6. Step 6: Final answer
    x = 250,702.60

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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.