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Finding the Fourth Proportional to 416,516.33, 624,798.72 and 117,020.26

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Solution

The fourth proportional to 416,516.33, 624,798.72 and 117,020.26 is: 175,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,516.33 : 624,798.72 = 117,020.26 : x
  2. Step 2: Convert to fraction form
    416,516.33/624,798.72 = 117,020.26/x
  3. Step 3: Cross multiply
    416,516.33x = 624,798.72 × 117,020.26
  4. Step 4: Simplify right side
    416,516.33x = 73,114,109,443.07
  5. Step 5: Solve for x
    x = 73,114,109,443.07/416,516.33
  6. Step 6: Final answer
    x = 175,537.20

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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.