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Finding the Fourth Proportional to 416,457.54, 624,687.93 and 100,913.94

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Solution

The fourth proportional to 416,457.54, 624,687.93 and 100,913.94 is: 151,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,457.54 : 624,687.93 = 100,913.94 : x
  2. Step 2: Convert to fraction form
    416,457.54/624,687.93 = 100,913.94/x
  3. Step 3: Cross multiply
    416,457.54x = 624,687.93 × 100,913.94
  4. Step 4: Simplify right side
    416,457.54x = 63,039,720,286.74
  5. Step 5: Solve for x
    x = 63,039,720,286.74/416,457.54
  6. Step 6: Final answer
    x = 151,371.30

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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.