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Finding the Fourth Proportional to 416,119.83, 624,032.13 and 149,808.84

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Solution

The fourth proportional to 416,119.83, 624,032.13 and 149,808.84 is: 224,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,119.83 : 624,032.13 = 149,808.84 : x
  2. Step 2: Convert to fraction form
    416,119.83/624,032.13 = 149,808.84/x
  3. Step 3: Cross multiply
    416,119.83x = 624,032.13 × 149,808.84
  4. Step 4: Simplify right side
    416,119.83x = 93,485,529,518.03
  5. Step 5: Solve for x
    x = 93,485,529,518.03/416,119.83
  6. Step 6: Final answer
    x = 224,660.12

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1.5x scale

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.