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Finding the Fourth Proportional to 416,496.20, 624,742.23 and 100,953.11

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Solution

The fourth proportional to 416,496.20, 624,742.23 and 100,953.11 is: 151,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,496.20 : 624,742.23 = 100,953.11 : x
  2. Step 2: Convert to fraction form
    416,496.20/624,742.23 = 100,953.11/x
  3. Step 3: Cross multiply
    416,496.20x = 624,742.23 × 100,953.11
  4. Step 4: Simplify right side
    416,496.20x = 63,069,667,943.12
  5. Step 5: Solve for x
    x = 63,069,667,943.12/416,496.20
  6. Step 6: Final answer
    x = 151,429.16

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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.