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Finding the Fourth Proportional to 416,187.20, 624,165.60 and 166,894.40

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Solution

The fourth proportional to 416,187.20, 624,165.60 and 166,894.40 is: 250,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,187.20 : 624,165.60 = 166,894.40 : x
  2. Step 2: Convert to fraction form
    416,187.20/624,165.60 = 166,894.40/x
  3. Step 3: Cross multiply
    416,187.20x = 624,165.60 × 166,894.40
  4. Step 4: Simplify right side
    416,187.20x = 104,169,743,312.64
  5. Step 5: Solve for x
    x = 104,169,743,312.64/416,187.20
  6. Step 6: Final answer
    x = 250,295.40

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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.