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Finding the Fourth Proportional to 416,014.40, 624,021.60 and 166,875.20

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Solution

The fourth proportional to 416,014.40, 624,021.60 and 166,875.20 is: 250,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,014.40 : 624,021.60 = 166,875.20 : x
  2. Step 2: Convert to fraction form
    416,014.40/624,021.60 = 166,875.20/x
  3. Step 3: Cross multiply
    416,014.40x = 624,021.60 × 166,875.20
  4. Step 4: Simplify right side
    416,014.40x = 104,133,729,304.32
  5. Step 5: Solve for x
    x = 104,133,729,304.32/416,014.40
  6. Step 6: Final answer
    x = 250,312.80

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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.