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Finding the Fourth Proportional to 415,970.79, 624,025.20 and 146,028.96

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Solution

The fourth proportional to 415,970.79, 624,025.20 and 146,028.96 is: 219,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,970.79 : 624,025.20 = 146,028.96 : x
  2. Step 2: Convert to fraction form
    415,970.79/624,025.20 = 146,028.96/x
  3. Step 3: Cross multiply
    415,970.79x = 624,025.20 × 146,028.96
  4. Step 4: Simplify right side
    415,970.79x = 91,125,750,969.79
  5. Step 5: Solve for x
    x = 91,125,750,969.79/415,970.79
  6. Step 6: Final answer
    x = 219,067.67

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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.