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Finding the Fourth Proportional to 282,350.99, 389,628.44 and 164,513.73

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Solution

The fourth proportional to 282,350.99, 389,628.44 and 164,513.73 is: 227,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,350.99 : 389,628.44 = 164,513.73 : x
  2. Step 2: Convert to fraction form
    282,350.99/389,628.44 = 164,513.73/x
  3. Step 3: Cross multiply
    282,350.99x = 389,628.44 × 164,513.73
  4. Step 4: Simplify right side
    282,350.99x = 64,099,226,030.34
  5. Step 5: Solve for x
    x = 64,099,226,030.34/282,350.99
  6. Step 6: Final answer
    x = 227,019.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.