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Finding the Fourth Proportional to 416,638.83, 624,829.29 and 150,365.64

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Solution

The fourth proportional to 416,638.83, 624,829.29 and 150,365.64 is: 225,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,638.83 : 624,829.29 = 150,365.64 : x
  2. Step 2: Convert to fraction form
    416,638.83/624,829.29 = 150,365.64/x
  3. Step 3: Cross multiply
    416,638.83x = 624,829.29 × 150,365.64
  4. Step 4: Simplify right side
    416,638.83x = 93,952,856,081.60
  5. Step 5: Solve for x
    x = 93,952,856,081.60/416,638.83
  6. Step 6: Final answer
    x = 225,501.92

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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.