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Finding the Fourth Proportional to 416,559.93, 624,710.74 and 150,285.84

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Solution

The fourth proportional to 416,559.93, 624,710.74 and 150,285.84 is: 225,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,559.93 : 624,710.74 = 150,285.84 : x
  2. Step 2: Convert to fraction form
    416,559.93/624,710.74 = 150,285.84/x
  3. Step 3: Cross multiply
    416,559.93x = 624,710.74 × 150,285.84
  4. Step 4: Simplify right side
    416,559.93x = 93,885,178,317.92
  5. Step 5: Solve for x
    x = 93,885,178,317.92/416,559.93
  6. Step 6: Final answer
    x = 225,382.16

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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.