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Finding the Fourth Proportional to 416,459.71, 624,727.69 and 116,938.27

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Solution

The fourth proportional to 416,459.71, 624,727.69 and 116,938.27 is: 175,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,459.71 : 624,727.69 = 116,938.27 : x
  2. Step 2: Convert to fraction form
    416,459.71/624,727.69 = 116,938.27/x
  3. Step 3: Cross multiply
    416,459.71x = 624,727.69 × 116,938.27
  4. Step 4: Simplify right side
    416,459.71x = 73,054,575,289.70
  5. Step 5: Solve for x
    x = 73,054,575,289.70/416,459.71
  6. Step 6: Final answer
    x = 175,418.11

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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.