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Finding the Fourth Proportional to 416,544.14, 624,837.60 and 117,048.07

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Solution

The fourth proportional to 416,544.14, 624,837.60 and 117,048.07 is: 175,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,544.14 : 624,837.60 = 117,048.07 : x
  2. Step 2: Convert to fraction form
    416,544.14/624,837.60 = 117,048.07/x
  3. Step 3: Cross multiply
    416,544.14x = 624,837.60 × 117,048.07
  4. Step 4: Simplify right side
    416,544.14x = 73,136,031,434.00
  5. Step 5: Solve for x
    x = 73,136,031,434.00/416,544.14
  6. Step 6: Final answer
    x = 175,578.11

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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.