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Finding the Fourth Proportional to 416,363, 624,561.78 and 120,875

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Solution

The fourth proportional to 416,363, 624,561.78 and 120,875 is: 181,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,363 : 624,561.78 = 120,875 : x
  2. Step 2: Convert to fraction form
    416,363/624,561.78 = 120,875/x
  3. Step 3: Cross multiply
    416,363x = 624,561.78 × 120,875
  4. Step 4: Simplify right side
    416,363x = 75,493,905,157.50
  5. Step 5: Solve for x
    x = 75,493,905,157.50/416,363
  6. Step 6: Final answer
    x = 181,317.52

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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.