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Finding the Fourth Proportional to 416,083.98, 623,751.44 and 149,657.25

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Solution

The fourth proportional to 416,083.98, 623,751.44 and 149,657.25 is: 224,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,083.98 : 623,751.44 = 149,657.25 : x
  2. Step 2: Convert to fraction form
    416,083.98/623,751.44 = 149,657.25/x
  3. Step 3: Cross multiply
    416,083.98x = 623,751.44 × 149,657.25
  4. Step 4: Simplify right side
    416,083.98x = 93,348,924,445.65
  5. Step 5: Solve for x
    x = 93,348,924,445.65/416,083.98
  6. Step 6: Final answer
    x = 224,351.16

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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.